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Finding the Fourth Proportional to 17,955.63, 24,778.24 and 9,997.67

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Solution

The fourth proportional to 17,955.63, 24,778.24 and 9,997.67 is: 13,796.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,955.63 : 24,778.24 = 9,997.67 : x
  2. Step 2: Convert to fraction form
    17,955.63/24,778.24 = 9,997.67/x
  3. Step 3: Cross multiply
    17,955.63x = 24,778.24 × 9,997.67
  4. Step 4: Simplify right side
    17,955.63x = 247,724,703.65
  5. Step 5: Solve for x
    x = 247,724,703.65/17,955.63
  6. Step 6: Final answer
    x = 13,796.49

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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.