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Finding the Fourth Proportional to 22,737.38, 31,381.94 and 12,801.38

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Solution

The fourth proportional to 22,737.38, 31,381.94 and 12,801.38 is: 17,668.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,737.38 : 31,381.94 = 12,801.38 : x
  2. Step 2: Convert to fraction form
    22,737.38/31,381.94 = 12,801.38/x
  3. Step 3: Cross multiply
    22,737.38x = 31,381.94 × 12,801.38
  4. Step 4: Simplify right side
    22,737.38x = 401,732,139.08
  5. Step 5: Solve for x
    x = 401,732,139.08/22,737.38
  6. Step 6: Final answer
    x = 17,668.36

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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.