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Finding the Fourth Proportional to 16,178.64, 24,267.72 and 5,648.64

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Solution

The fourth proportional to 16,178.64, 24,267.72 and 5,648.64 is: 8,472.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,178.64 : 24,267.72 = 5,648.64 : x
  2. Step 2: Convert to fraction form
    16,178.64/24,267.72 = 5,648.64/x
  3. Step 3: Cross multiply
    16,178.64x = 24,267.72 × 5,648.64
  4. Step 4: Simplify right side
    16,178.64x = 137,079,613.90
  5. Step 5: Solve for x
    x = 137,079,613.90/16,178.64
  6. Step 6: Final answer
    x = 8,472.88

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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.