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Finding the Fourth Proportional to 12,189.87, 18,281.18 and 5,169.78

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Solution

The fourth proportional to 12,189.87, 18,281.18 and 5,169.78 is: 7,753.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,189.87 : 18,281.18 = 5,169.78 : x
  2. Step 2: Convert to fraction form
    12,189.87/18,281.18 = 5,169.78/x
  3. Step 3: Cross multiply
    12,189.87x = 18,281.18 × 5,169.78
  4. Step 4: Simplify right side
    12,189.87x = 94,509,561.49
  5. Step 5: Solve for x
    x = 94,509,561.49/12,189.87
  6. Step 6: Final answer
    x = 7,753.13

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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.