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Finding the Fourth Proportional to 22,606.31, 31,195.45 and 12,534.16

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Solution

The fourth proportional to 22,606.31, 31,195.45 and 12,534.16 is: 17,296.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,606.31 : 31,195.45 = 12,534.16 : x
  2. Step 2: Convert to fraction form
    22,606.31/31,195.45 = 12,534.16/x
  3. Step 3: Cross multiply
    22,606.31x = 31,195.45 × 12,534.16
  4. Step 4: Simplify right side
    22,606.31x = 391,008,761.57
  5. Step 5: Solve for x
    x = 391,008,761.57/22,606.31
  6. Step 6: Final answer
    x = 17,296.44

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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.