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Finding the Fourth Proportional to 16,105.60, 24,165.60 and 5,724.80

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Solution

The fourth proportional to 16,105.60, 24,165.60 and 5,724.80 is: 8,589.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,105.60 : 24,165.60 = 5,724.80 : x
  2. Step 2: Convert to fraction form
    16,105.60/24,165.60 = 5,724.80/x
  3. Step 3: Cross multiply
    16,105.60x = 24,165.60 × 5,724.80
  4. Step 4: Simplify right side
    16,105.60x = 138,343,226.88
  5. Step 5: Solve for x
    x = 138,343,226.88/16,105.60
  6. Step 6: Final answer
    x = 8,589.76

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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.