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Finding the Fourth Proportional to 13,537.52, 20,296.56 and 6,138.16

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Solution

The fourth proportional to 13,537.52, 20,296.56 and 6,138.16 is: 9,202.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,537.52 : 20,296.56 = 6,138.16 : x
  2. Step 2: Convert to fraction form
    13,537.52/20,296.56 = 6,138.16/x
  3. Step 3: Cross multiply
    13,537.52x = 20,296.56 × 6,138.16
  4. Step 4: Simplify right side
    13,537.52x = 124,583,532.73
  5. Step 5: Solve for x
    x = 124,583,532.73/13,537.52
  6. Step 6: Final answer
    x = 9,202.83

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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.