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Finding the Fourth Proportional to 28,282.25, 42,432.24 and 11,650.12

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Solution

The fourth proportional to 28,282.25, 42,432.24 and 11,650.12 is: 17,478.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,282.25 : 42,432.24 = 11,650.12 : x
  2. Step 2: Convert to fraction form
    28,282.25/42,432.24 = 11,650.12/x
  3. Step 3: Cross multiply
    28,282.25x = 42,432.24 × 11,650.12
  4. Step 4: Simplify right side
    28,282.25x = 494,340,687.87
  5. Step 5: Solve for x
    x = 494,340,687.87/28,282.25
  6. Step 6: Final answer
    x = 17,478.83

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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.