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Finding the Fourth Proportional to 12,538.32, 18,773.46 and 8,144.88

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Solution

The fourth proportional to 12,538.32, 18,773.46 and 8,144.88 is: 12,195.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.32 : 18,773.46 = 8,144.88 : x
  2. Step 2: Convert to fraction form
    12,538.32/18,773.46 = 8,144.88/x
  3. Step 3: Cross multiply
    12,538.32x = 18,773.46 × 8,144.88
  4. Step 4: Simplify right side
    12,538.32x = 152,907,578.88
  5. Step 5: Solve for x
    x = 152,907,578.88/12,538.32
  6. Step 6: Final answer
    x = 12,195.22

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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.