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Finding the Fourth Proportional to 22,937.38, 31,657.13 and 12,869.89

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Solution

The fourth proportional to 22,937.38, 31,657.13 and 12,869.89 is: 17,762.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,937.38 : 31,657.13 = 12,869.89 : x
  2. Step 2: Convert to fraction form
    22,937.38/31,657.13 = 12,869.89/x
  3. Step 3: Cross multiply
    22,937.38x = 31,657.13 × 12,869.89
  4. Step 4: Simplify right side
    22,937.38x = 407,423,685.59
  5. Step 5: Solve for x
    x = 407,423,685.59/22,937.38
  6. Step 6: Final answer
    x = 17,762.44

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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.