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Finding the Fourth Proportional to 16,589.68, 24,876.96 and 7,229.32

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Solution

The fourth proportional to 16,589.68, 24,876.96 and 7,229.32 is: 10,840.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,589.68 : 24,876.96 = 7,229.32 : x
  2. Step 2: Convert to fraction form
    16,589.68/24,876.96 = 7,229.32/x
  3. Step 3: Cross multiply
    16,589.68x = 24,876.96 × 7,229.32
  4. Step 4: Simplify right side
    16,589.68x = 179,843,504.47
  5. Step 5: Solve for x
    x = 179,843,504.47/16,589.68
  6. Step 6: Final answer
    x = 10,840.69

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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.