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Finding the Fourth Proportional to 11,829.90, 17,708.40 and 9,351.30

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Solution

The fourth proportional to 11,829.90, 17,708.40 and 9,351.30 is: 13,998.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,829.90 : 17,708.40 = 9,351.30 : x
  2. Step 2: Convert to fraction form
    11,829.90/17,708.40 = 9,351.30/x
  3. Step 3: Cross multiply
    11,829.90x = 17,708.40 × 9,351.30
  4. Step 4: Simplify right side
    11,829.90x = 165,596,560.92
  5. Step 5: Solve for x
    x = 165,596,560.92/11,829.90
  6. Step 6: Final answer
    x = 13,998.14

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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.