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Finding the Fourth Proportional to 12,772.44, 17,614.26 and 8,463.74

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Solution

The fourth proportional to 12,772.44, 17,614.26 and 8,463.74 is: 11,672.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,772.44 : 17,614.26 = 8,463.74 : x
  2. Step 2: Convert to fraction form
    12,772.44/17,614.26 = 8,463.74/x
  3. Step 3: Cross multiply
    12,772.44x = 17,614.26 × 8,463.74
  4. Step 4: Simplify right side
    12,772.44x = 149,082,428.86
  5. Step 5: Solve for x
    x = 149,082,428.86/12,772.44
  6. Step 6: Final answer
    x = 11,672.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.