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Finding the Fourth Proportional to 16,405.71, 24,585.69 and 12,399.81

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Solution

The fourth proportional to 16,405.71, 24,585.69 and 12,399.81 is: 18,582.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,405.71 : 24,585.69 = 12,399.81 : x
  2. Step 2: Convert to fraction form
    16,405.71/24,585.69 = 12,399.81/x
  3. Step 3: Cross multiply
    16,405.71x = 24,585.69 × 12,399.81
  4. Step 4: Simplify right side
    16,405.71x = 304,857,884.72
  5. Step 5: Solve for x
    x = 304,857,884.72/16,405.71
  6. Step 6: Final answer
    x = 18,582.43

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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.