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Finding the Fourth Proportional to 13,493.71, 20,234.62 and 6,097.87

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Solution

The fourth proportional to 13,493.71, 20,234.62 and 6,097.87 is: 9,144.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,493.71 : 20,234.62 = 6,097.87 : x
  2. Step 2: Convert to fraction form
    13,493.71/20,234.62 = 6,097.87/x
  3. Step 3: Cross multiply
    13,493.71x = 20,234.62 × 6,097.87
  4. Step 4: Simplify right side
    13,493.71x = 123,388,082.26
  5. Step 5: Solve for x
    x = 123,388,082.26/13,493.71
  6. Step 6: Final answer
    x = 9,144.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.