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Finding the Fourth Proportional to 13,508.70, 20,256.56 and 6,387.02

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Solution

The fourth proportional to 13,508.70, 20,256.56 and 6,387.02 is: 9,577.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,508.70 : 20,256.56 = 6,387.02 : x
  2. Step 2: Convert to fraction form
    13,508.70/20,256.56 = 6,387.02/x
  3. Step 3: Cross multiply
    13,508.70x = 20,256.56 × 6,387.02
  4. Step 4: Simplify right side
    13,508.70x = 129,379,053.85
  5. Step 5: Solve for x
    x = 129,379,053.85/13,508.70
  6. Step 6: Final answer
    x = 9,577.46

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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.