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Finding the Fourth Proportional to 24,732, 34,130.16 and 13,553.76

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Solution

The fourth proportional to 24,732, 34,130.16 and 13,553.76 is: 18,704.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,732 : 34,130.16 = 13,553.76 : x
  2. Step 2: Convert to fraction form
    24,732/34,130.16 = 13,553.76/x
  3. Step 3: Cross multiply
    24,732x = 34,130.16 × 13,553.76
  4. Step 4: Simplify right side
    24,732x = 462,591,997.40
  5. Step 5: Solve for x
    x = 462,591,997.40/24,732
  6. Step 6: Final answer
    x = 18,704.19

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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.