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Finding the Fourth Proportional to 22,542.34, 31,101.71 and 12,981.97

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Solution

The fourth proportional to 22,542.34, 31,101.71 and 12,981.97 is: 17,911.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,542.34 : 31,101.71 = 12,981.97 : x
  2. Step 2: Convert to fraction form
    22,542.34/31,101.71 = 12,981.97/x
  3. Step 3: Cross multiply
    22,542.34x = 31,101.71 × 12,981.97
  4. Step 4: Simplify right side
    22,542.34x = 403,761,488.82
  5. Step 5: Solve for x
    x = 403,761,488.82/22,542.34
  6. Step 6: Final answer
    x = 17,911.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.