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Finding the Fourth Proportional to 24,730, 34,127.46 and 13,552

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Solution

The fourth proportional to 24,730, 34,127.46 and 13,552 is: 18,701.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,730 : 34,127.46 = 13,552 : x
  2. Step 2: Convert to fraction form
    24,730/34,127.46 = 13,552/x
  3. Step 3: Cross multiply
    24,730x = 34,127.46 × 13,552
  4. Step 4: Simplify right side
    24,730x = 462,495,337.92
  5. Step 5: Solve for x
    x = 462,495,337.92/24,730
  6. Step 6: Final answer
    x = 18,701.79

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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.