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Finding the Fourth Proportional to 16,464.96, 24,707.16 and 9,891.81

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Solution

The fourth proportional to 16,464.96, 24,707.16 and 9,891.81 is: 14,843.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,464.96 : 24,707.16 = 9,891.81 : x
  2. Step 2: Convert to fraction form
    16,464.96/24,707.16 = 9,891.81/x
  3. Step 3: Cross multiply
    16,464.96x = 24,707.16 × 9,891.81
  4. Step 4: Simplify right side
    16,464.96x = 244,398,532.36
  5. Step 5: Solve for x
    x = 244,398,532.36/16,464.96
  6. Step 6: Final answer
    x = 14,843.55

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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.