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Finding the Fourth Proportional to 13,531.95, 20,286.18 and 6,508.44

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Solution

The fourth proportional to 13,531.95, 20,286.18 and 6,508.44 is: 9,757.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,531.95 : 20,286.18 = 6,508.44 : x
  2. Step 2: Convert to fraction form
    13,531.95/20,286.18 = 6,508.44/x
  3. Step 3: Cross multiply
    13,531.95x = 20,286.18 × 6,508.44
  4. Step 4: Simplify right side
    13,531.95x = 132,031,385.36
  5. Step 5: Solve for x
    x = 132,031,385.36/13,531.95
  6. Step 6: Final answer
    x = 9,757.01

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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.