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Finding the Fourth Proportional to 16,242.64, 24,364.02 and 3,930.64

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Solution

The fourth proportional to 16,242.64, 24,364.02 and 3,930.64 is: 5,895.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,242.64 : 24,364.02 = 3,930.64 : x
  2. Step 2: Convert to fraction form
    16,242.64/24,364.02 = 3,930.64/x
  3. Step 3: Cross multiply
    16,242.64x = 24,364.02 × 3,930.64
  4. Step 4: Simplify right side
    16,242.64x = 95,766,191.57
  5. Step 5: Solve for x
    x = 95,766,191.57/16,242.64
  6. Step 6: Final answer
    x = 5,895.97

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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.