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Finding the Fourth Proportional to 14,515.50, 20,032.20 and 8,229.90

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Solution

The fourth proportional to 14,515.50, 20,032.20 and 8,229.90 is: 11,357.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,515.50 : 20,032.20 = 8,229.90 : x
  2. Step 2: Convert to fraction form
    14,515.50/20,032.20 = 8,229.90/x
  3. Step 3: Cross multiply
    14,515.50x = 20,032.20 × 8,229.90
  4. Step 4: Simplify right side
    14,515.50x = 164,863,002.78
  5. Step 5: Solve for x
    x = 164,863,002.78/14,515.50
  6. Step 6: Final answer
    x = 11,357.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.