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Finding the Fourth Proportional to 24,589.92, 36,884.90 and 10,540.83

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Solution

The fourth proportional to 24,589.92, 36,884.90 and 10,540.83 is: 15,811.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,589.92 : 36,884.90 = 10,540.83 : x
  2. Step 2: Convert to fraction form
    24,589.92/36,884.90 = 10,540.83/x
  3. Step 3: Cross multiply
    24,589.92x = 36,884.90 × 10,540.83
  4. Step 4: Simplify right side
    24,589.92x = 388,797,460.47
  5. Step 5: Solve for x
    x = 388,797,460.47/24,589.92
  6. Step 6: Final answer
    x = 15,811.25

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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.