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Finding the Fourth Proportional to 12,686.14, 17,500.92 and 8,439.28

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Solution

The fourth proportional to 12,686.14, 17,500.92 and 8,439.28 is: 11,642.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,686.14 : 17,500.92 = 8,439.28 : x
  2. Step 2: Convert to fraction form
    12,686.14/17,500.92 = 8,439.28/x
  3. Step 3: Cross multiply
    12,686.14x = 17,500.92 × 8,439.28
  4. Step 4: Simplify right side
    12,686.14x = 147,695,164.14
  5. Step 5: Solve for x
    x = 147,695,164.14/12,686.14
  6. Step 6: Final answer
    x = 11,642.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.