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Finding the Fourth Proportional to 12,086.17, 18,140.19 and 8,390.14

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Solution

The fourth proportional to 12,086.17, 18,140.19 and 8,390.14 is: 12,592.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,086.17 : 18,140.19 = 8,390.14 : x
  2. Step 2: Convert to fraction form
    12,086.17/18,140.19 = 8,390.14/x
  3. Step 3: Cross multiply
    12,086.17x = 18,140.19 × 8,390.14
  4. Step 4: Simplify right side
    12,086.17x = 152,198,733.73
  5. Step 5: Solve for x
    x = 152,198,733.73/12,086.17
  6. Step 6: Final answer
    x = 12,592.80

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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.