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Finding the Fourth Proportional to 22,721.92, 31,348.14 and 13,156.59

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Solution

The fourth proportional to 22,721.92, 31,348.14 and 13,156.59 is: 18,151.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,721.92 : 31,348.14 = 13,156.59 : x
  2. Step 2: Convert to fraction form
    22,721.92/31,348.14 = 13,156.59/x
  3. Step 3: Cross multiply
    22,721.92x = 31,348.14 × 13,156.59
  4. Step 4: Simplify right side
    22,721.92x = 412,434,541.80
  5. Step 5: Solve for x
    x = 412,434,541.80/22,721.92
  6. Step 6: Final answer
    x = 18,151.39

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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.