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Finding the Fourth Proportional to 12,169.32, 18,251.23 and 5,589.18

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Solution

The fourth proportional to 12,169.32, 18,251.23 and 5,589.18 is: 8,382.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,169.32 : 18,251.23 = 5,589.18 : x
  2. Step 2: Convert to fraction form
    12,169.32/18,251.23 = 5,589.18/x
  3. Step 3: Cross multiply
    12,169.32x = 18,251.23 × 5,589.18
  4. Step 4: Simplify right side
    12,169.32x = 102,009,395.72
  5. Step 5: Solve for x
    x = 102,009,395.72/12,169.32
  6. Step 6: Final answer
    x = 8,382.51

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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.