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Finding the Fourth Proportional to 11,416.81, 15,747.42 and 9,922.18

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Solution

The fourth proportional to 11,416.81, 15,747.42 and 9,922.18 is: 13,685.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,416.81 : 15,747.42 = 9,922.18 : x
  2. Step 2: Convert to fraction form
    11,416.81/15,747.42 = 9,922.18/x
  3. Step 3: Cross multiply
    11,416.81x = 15,747.42 × 9,922.18
  4. Step 4: Simplify right side
    11,416.81x = 156,248,735.78
  5. Step 5: Solve for x
    x = 156,248,735.78/11,416.81
  6. Step 6: Final answer
    x = 13,685.85

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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.