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Finding the Fourth Proportional to 13,609.48, 20,411.22 and 6,589.24

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Solution

The fourth proportional to 13,609.48, 20,411.22 and 6,589.24 is: 9,882.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,609.48 : 20,411.22 = 6,589.24 : x
  2. Step 2: Convert to fraction form
    13,609.48/20,411.22 = 6,589.24/x
  3. Step 3: Cross multiply
    13,609.48x = 20,411.22 × 6,589.24
  4. Step 4: Simplify right side
    13,609.48x = 134,494,427.27
  5. Step 5: Solve for x
    x = 134,494,427.27/13,609.48
  6. Step 6: Final answer
    x = 9,882.41

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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.