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Finding the Fourth Proportional to 22,309.31, 33,462.13 and 7,517.90

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Solution

The fourth proportional to 22,309.31, 33,462.13 and 7,517.90 is: 11,276.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,309.31 : 33,462.13 = 7,517.90 : x
  2. Step 2: Convert to fraction form
    22,309.31/33,462.13 = 7,517.90/x
  3. Step 3: Cross multiply
    22,309.31x = 33,462.13 × 7,517.90
  4. Step 4: Simplify right side
    22,309.31x = 251,564,947.13
  5. Step 5: Solve for x
    x = 251,564,947.13/22,309.31
  6. Step 6: Final answer
    x = 11,276.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.