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Finding the Fourth Proportional to 12,532.64, 18,793.92 and 4,525.12

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Solution

The fourth proportional to 12,532.64, 18,793.92 and 4,525.12 is: 6,785.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,532.64 : 18,793.92 = 4,525.12 : x
  2. Step 2: Convert to fraction form
    12,532.64/18,793.92 = 4,525.12/x
  3. Step 3: Cross multiply
    12,532.64x = 18,793.92 × 4,525.12
  4. Step 4: Simplify right side
    12,532.64x = 85,044,743.27
  5. Step 5: Solve for x
    x = 85,044,743.27/12,532.64
  6. Step 6: Final answer
    x = 6,785.86

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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.