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Finding the Fourth Proportional to 16,074, 24,123.96 and 8,285.04

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Solution

The fourth proportional to 16,074, 24,123.96 and 8,285.04 is: 12,434.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,074 : 24,123.96 = 8,285.04 : x
  2. Step 2: Convert to fraction form
    16,074/24,123.96 = 8,285.04/x
  3. Step 3: Cross multiply
    16,074x = 24,123.96 × 8,285.04
  4. Step 4: Simplify right side
    16,074x = 199,867,973.56
  5. Step 5: Solve for x
    x = 199,867,973.56/16,074
  6. Step 6: Final answer
    x = 12,434.24

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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.