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Finding the Fourth Proportional to 12,057.20, 18,085.80 and 9,432.80

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Solution

The fourth proportional to 12,057.20, 18,085.80 and 9,432.80 is: 14,149.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.20 : 18,085.80 = 9,432.80 : x
  2. Step 2: Convert to fraction form
    12,057.20/18,085.80 = 9,432.80/x
  3. Step 3: Cross multiply
    12,057.20x = 18,085.80 × 9,432.80
  4. Step 4: Simplify right side
    12,057.20x = 170,599,734.24
  5. Step 5: Solve for x
    x = 170,599,734.24/12,057.20
  6. Step 6: Final answer
    x = 14,149.20

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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.