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Finding the Fourth Proportional to 22,801.96, 31,463.49 and 12,729

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Solution

The fourth proportional to 22,801.96, 31,463.49 and 12,729 is: 17,564.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,801.96 : 31,463.49 = 12,729 : x
  2. Step 2: Convert to fraction form
    22,801.96/31,463.49 = 12,729/x
  3. Step 3: Cross multiply
    22,801.96x = 31,463.49 × 12,729
  4. Step 4: Simplify right side
    22,801.96x = 400,498,700.57
  5. Step 5: Solve for x
    x = 400,498,700.57/22,801.96
  6. Step 6: Final answer
    x = 17,564.23

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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.