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Finding the Fourth Proportional to 30,414.80, 45,600.60 and 11,687.60

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Solution

The fourth proportional to 30,414.80, 45,600.60 and 11,687.60 is: 17,523.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,414.80 : 45,600.60 = 11,687.60 : x
  2. Step 2: Convert to fraction form
    30,414.80/45,600.60 = 11,687.60/x
  3. Step 3: Cross multiply
    30,414.80x = 45,600.60 × 11,687.60
  4. Step 4: Simplify right side
    30,414.80x = 532,961,572.56
  5. Step 5: Solve for x
    x = 532,961,572.56/30,414.80
  6. Step 6: Final answer
    x = 17,523.10

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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.