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Finding the Fourth Proportional to 11,227.64, 15,500.81 and 9,982.18

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Solution

The fourth proportional to 11,227.64, 15,500.81 and 9,982.18 is: 13,781.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,227.64 : 15,500.81 = 9,982.18 : x
  2. Step 2: Convert to fraction form
    11,227.64/15,500.81 = 9,982.18/x
  3. Step 3: Cross multiply
    11,227.64x = 15,500.81 × 9,982.18
  4. Step 4: Simplify right side
    11,227.64x = 154,731,748.15
  5. Step 5: Solve for x
    x = 154,731,748.15/11,227.64
  6. Step 6: Final answer
    x = 13,781.32

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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.