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Finding the Fourth Proportional to 12,729.72, 17,563.42 and 8,253.66

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Solution

The fourth proportional to 12,729.72, 17,563.42 and 8,253.66 is: 11,387.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,729.72 : 17,563.42 = 8,253.66 : x
  2. Step 2: Convert to fraction form
    12,729.72/17,563.42 = 8,253.66/x
  3. Step 3: Cross multiply
    12,729.72x = 17,563.42 × 8,253.66
  4. Step 4: Simplify right side
    12,729.72x = 144,962,388.67
  5. Step 5: Solve for x
    x = 144,962,388.67/12,729.72
  6. Step 6: Final answer
    x = 11,387.72

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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.