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Finding the Fourth Proportional to 18,432.80, 27,649.20 and 9,077.30

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Solution

The fourth proportional to 18,432.80, 27,649.20 and 9,077.30 is: 13,615.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,432.80 : 27,649.20 = 9,077.30 : x
  2. Step 2: Convert to fraction form
    18,432.80/27,649.20 = 9,077.30/x
  3. Step 3: Cross multiply
    18,432.80x = 27,649.20 × 9,077.30
  4. Step 4: Simplify right side
    18,432.80x = 250,980,083.16
  5. Step 5: Solve for x
    x = 250,980,083.16/18,432.80
  6. Step 6: Final answer
    x = 13,615.95

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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.