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Finding the Fourth Proportional to 13,982.67, 19,296.17 and 7,609.31

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Solution

The fourth proportional to 13,982.67, 19,296.17 and 7,609.31 is: 10,500.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,982.67 : 19,296.17 = 7,609.31 : x
  2. Step 2: Convert to fraction form
    13,982.67/19,296.17 = 7,609.31/x
  3. Step 3: Cross multiply
    13,982.67x = 19,296.17 × 7,609.31
  4. Step 4: Simplify right side
    13,982.67x = 146,830,404.82
  5. Step 5: Solve for x
    x = 146,830,404.82/13,982.67
  6. Step 6: Final answer
    x = 10,500.88

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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.