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Finding the Fourth Proportional to 11,966.22, 17,949.30 and 9,877.20

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Solution

The fourth proportional to 11,966.22, 17,949.30 and 9,877.20 is: 14,815.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,966.22 : 17,949.30 = 9,877.20 : x
  2. Step 2: Convert to fraction form
    11,966.22/17,949.30 = 9,877.20/x
  3. Step 3: Cross multiply
    11,966.22x = 17,949.30 × 9,877.20
  4. Step 4: Simplify right side
    11,966.22x = 177,288,825.96
  5. Step 5: Solve for x
    x = 177,288,825.96/11,966.22
  6. Step 6: Final answer
    x = 14,815.78

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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.