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Finding the Fourth Proportional to 12,822.72, 17,691.84 and 8,108.96

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Solution

The fourth proportional to 12,822.72, 17,691.84 and 8,108.96 is: 11,188.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,822.72 : 17,691.84 = 8,108.96 : x
  2. Step 2: Convert to fraction form
    12,822.72/17,691.84 = 8,108.96/x
  3. Step 3: Cross multiply
    12,822.72x = 17,691.84 × 8,108.96
  4. Step 4: Simplify right side
    12,822.72x = 143,462,422.89
  5. Step 5: Solve for x
    x = 143,462,422.89/12,822.72
  6. Step 6: Final answer
    x = 11,188.14

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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.