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Finding the Fourth Proportional to 25,707.69, 35,478.41 and 14,380.92

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Solution

The fourth proportional to 25,707.69, 35,478.41 and 14,380.92 is: 19,846.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,707.69 : 35,478.41 = 14,380.92 : x
  2. Step 2: Convert to fraction form
    25,707.69/35,478.41 = 14,380.92/x
  3. Step 3: Cross multiply
    25,707.69x = 35,478.41 × 14,380.92
  4. Step 4: Simplify right side
    25,707.69x = 510,212,104.03
  5. Step 5: Solve for x
    x = 510,212,104.03/25,707.69
  6. Step 6: Final answer
    x = 19,846.67

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.