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Finding the Fourth Proportional to 13,502.45, 20,218.19 and 9,532.31

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Solution

The fourth proportional to 13,502.45, 20,218.19 and 9,532.31 is: 14,273.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502.45 : 20,218.19 = 9,532.31 : x
  2. Step 2: Convert to fraction form
    13,502.45/20,218.19 = 9,532.31/x
  3. Step 3: Cross multiply
    13,502.45x = 20,218.19 × 9,532.31
  4. Step 4: Simplify right side
    13,502.45x = 192,725,905.97
  5. Step 5: Solve for x
    x = 192,725,905.97/13,502.45
  6. Step 6: Final answer
    x = 14,273.41

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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.