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Finding the Fourth Proportional to 12,901.24, 17,794.24 and 8,116.56

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Solution

The fourth proportional to 12,901.24, 17,794.24 and 8,116.56 is: 11,194.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,901.24 : 17,794.24 = 8,116.56 : x
  2. Step 2: Convert to fraction form
    12,901.24/17,794.24 = 8,116.56/x
  3. Step 3: Cross multiply
    12,901.24x = 17,794.24 × 8,116.56
  4. Step 4: Simplify right side
    12,901.24x = 144,428,016.61
  5. Step 5: Solve for x
    x = 144,428,016.61/12,901.24
  6. Step 6: Final answer
    x = 11,194.89

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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.