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Finding the Fourth Proportional to 18,194.04, 25,105.74 and 10,239

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Solution

The fourth proportional to 18,194.04, 25,105.74 and 10,239 is: 14,128.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,194.04 : 25,105.74 = 10,239 : x
  2. Step 2: Convert to fraction form
    18,194.04/25,105.74 = 10,239/x
  3. Step 3: Cross multiply
    18,194.04x = 25,105.74 × 10,239
  4. Step 4: Simplify right side
    18,194.04x = 257,057,671.86
  5. Step 5: Solve for x
    x = 257,057,671.86/18,194.04
  6. Step 6: Final answer
    x = 14,128.67

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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.