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Finding the Fourth Proportional to 16,224.76, 24,382.58 and 9,651.96

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Solution

The fourth proportional to 16,224.76, 24,382.58 and 9,651.96 is: 14,504.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,224.76 : 24,382.58 = 9,651.96 : x
  2. Step 2: Convert to fraction form
    16,224.76/24,382.58 = 9,651.96/x
  3. Step 3: Cross multiply
    16,224.76x = 24,382.58 × 9,651.96
  4. Step 4: Simplify right side
    16,224.76x = 235,339,686.86
  5. Step 5: Solve for x
    x = 235,339,686.86/16,224.76
  6. Step 6: Final answer
    x = 14,504.97

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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.