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Finding the Fourth Proportional to 12,885.95, 17,791.14 and 9,896.42

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Solution

The fourth proportional to 12,885.95, 17,791.14 and 9,896.42 is: 13,663.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,885.95 : 17,791.14 = 9,896.42 : x
  2. Step 2: Convert to fraction form
    12,885.95/17,791.14 = 9,896.42/x
  3. Step 3: Cross multiply
    12,885.95x = 17,791.14 × 9,896.42
  4. Step 4: Simplify right side
    12,885.95x = 176,068,593.72
  5. Step 5: Solve for x
    x = 176,068,593.72/12,885.95
  6. Step 6: Final answer
    x = 13,663.61

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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.