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Finding the Fourth Proportional to 29,711, 41,001.18 and 16,463

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Solution

The fourth proportional to 29,711, 41,001.18 and 16,463 is: 22,718.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,711 : 41,001.18 = 16,463 : x
  2. Step 2: Convert to fraction form
    29,711/41,001.18 = 16,463/x
  3. Step 3: Cross multiply
    29,711x = 41,001.18 × 16,463
  4. Step 4: Simplify right side
    29,711x = 675,002,426.34
  5. Step 5: Solve for x
    x = 675,002,426.34/29,711
  6. Step 6: Final answer
    x = 22,718.94

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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.