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Finding the Fourth Proportional to 24,906.24, 34,371 and 13,728.24

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Solution

The fourth proportional to 24,906.24, 34,371 and 13,728.24 is: 18,945.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,906.24 : 34,371 = 13,728.24 : x
  2. Step 2: Convert to fraction form
    24,906.24/34,371 = 13,728.24/x
  3. Step 3: Cross multiply
    24,906.24x = 34,371 × 13,728.24
  4. Step 4: Simplify right side
    24,906.24x = 471,853,337.04
  5. Step 5: Solve for x
    x = 471,853,337.04/24,906.24
  6. Step 6: Final answer
    x = 18,945.19

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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.