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Finding the Fourth Proportional to 11,641.28, 17,461.92 and 9,906.26

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Solution

The fourth proportional to 11,641.28, 17,461.92 and 9,906.26 is: 14,859.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.28 : 17,461.92 = 9,906.26 : x
  2. Step 2: Convert to fraction form
    11,641.28/17,461.92 = 9,906.26/x
  3. Step 3: Cross multiply
    11,641.28x = 17,461.92 × 9,906.26
  4. Step 4: Simplify right side
    11,641.28x = 172,982,319.62
  5. Step 5: Solve for x
    x = 172,982,319.62/11,641.28
  6. Step 6: Final answer
    x = 14,859.39

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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.