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Finding the Fourth Proportional to 13,531.34, 20,269.43 and 6,489.90

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Solution

The fourth proportional to 13,531.34, 20,269.43 and 6,489.90 is: 9,721.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,531.34 : 20,269.43 = 6,489.90 : x
  2. Step 2: Convert to fraction form
    13,531.34/20,269.43 = 6,489.90/x
  3. Step 3: Cross multiply
    13,531.34x = 20,269.43 × 6,489.90
  4. Step 4: Simplify right side
    13,531.34x = 131,546,541.31
  5. Step 5: Solve for x
    x = 131,546,541.31/13,531.34
  6. Step 6: Final answer
    x = 9,721.62

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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.