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Finding the Fourth Proportional to 12,197.52, 18,295.08 and 3,432.24

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Solution

The fourth proportional to 12,197.52, 18,295.08 and 3,432.24 is: 5,148.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197.52 : 18,295.08 = 3,432.24 : x
  2. Step 2: Convert to fraction form
    12,197.52/18,295.08 = 3,432.24/x
  3. Step 3: Cross multiply
    12,197.52x = 18,295.08 × 3,432.24
  4. Step 4: Simplify right side
    12,197.52x = 62,793,105.38
  5. Step 5: Solve for x
    x = 62,793,105.38/12,197.52
  6. Step 6: Final answer
    x = 5,148.02

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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.