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Finding the Fourth Proportional to 12,382.60, 18,563.10 and 7,454.20

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Solution

The fourth proportional to 12,382.60, 18,563.10 and 7,454.20 is: 11,174.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.60 : 18,563.10 = 7,454.20 : x
  2. Step 2: Convert to fraction form
    12,382.60/18,563.10 = 7,454.20/x
  3. Step 3: Cross multiply
    12,382.60x = 18,563.10 × 7,454.20
  4. Step 4: Simplify right side
    12,382.60x = 138,373,060.02
  5. Step 5: Solve for x
    x = 138,373,060.02/12,382.60
  6. Step 6: Final answer
    x = 11,174.80

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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.