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Finding the Fourth Proportional to 16,229.14, 24,343.71 and 3,917.14

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Solution

The fourth proportional to 16,229.14, 24,343.71 and 3,917.14 is: 5,875.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,229.14 : 24,343.71 = 3,917.14 : x
  2. Step 2: Convert to fraction form
    16,229.14/24,343.71 = 3,917.14/x
  3. Step 3: Cross multiply
    16,229.14x = 24,343.71 × 3,917.14
  4. Step 4: Simplify right side
    16,229.14x = 95,357,720.19
  5. Step 5: Solve for x
    x = 95,357,720.19/16,229.14
  6. Step 6: Final answer
    x = 5,875.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.