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Finding the Fourth Proportional to 13,497.26, 20,238.87 and 6,098.18

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Solution

The fourth proportional to 13,497.26, 20,238.87 and 6,098.18 is: 9,144.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,497.26 : 20,238.87 = 6,098.18 : x
  2. Step 2: Convert to fraction form
    13,497.26/20,238.87 = 6,098.18/x
  3. Step 3: Cross multiply
    13,497.26x = 20,238.87 × 6,098.18
  4. Step 4: Simplify right side
    13,497.26x = 123,420,272.26
  5. Step 5: Solve for x
    x = 123,420,272.26/13,497.26
  6. Step 6: Final answer
    x = 9,144.10

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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.