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Finding the Fourth Proportional to 11,789.60, 17,694.96 and 10,538.20

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Solution

The fourth proportional to 11,789.60, 17,694.96 and 10,538.20 is: 15,816.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,789.60 : 17,694.96 = 10,538.20 : x
  2. Step 2: Convert to fraction form
    11,789.60/17,694.96 = 10,538.20/x
  3. Step 3: Cross multiply
    11,789.60x = 17,694.96 × 10,538.20
  4. Step 4: Simplify right side
    11,789.60x = 186,473,010.07
  5. Step 5: Solve for x
    x = 186,473,010.07/11,789.60
  6. Step 6: Final answer
    x = 15,816.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.