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Finding the Fourth Proportional to 12,467.14, 18,689.17 and 6,542.80

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Solution

The fourth proportional to 12,467.14, 18,689.17 and 6,542.80 is: 9,808.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,467.14 : 18,689.17 = 6,542.80 : x
  2. Step 2: Convert to fraction form
    12,467.14/18,689.17 = 6,542.80/x
  3. Step 3: Cross multiply
    12,467.14x = 18,689.17 × 6,542.80
  4. Step 4: Simplify right side
    12,467.14x = 122,279,468.76
  5. Step 5: Solve for x
    x = 122,279,468.76/12,467.14
  6. Step 6: Final answer
    x = 9,808.14

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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.