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Finding the Fourth Proportional to 16,099.18, 22,217.07 and 9,812.14

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Solution

The fourth proportional to 16,099.18, 22,217.07 and 9,812.14 is: 13,540.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,099.18 : 22,217.07 = 9,812.14 : x
  2. Step 2: Convert to fraction form
    16,099.18/22,217.07 = 9,812.14/x
  3. Step 3: Cross multiply
    16,099.18x = 22,217.07 × 9,812.14
  4. Step 4: Simplify right side
    16,099.18x = 217,997,001.23
  5. Step 5: Solve for x
    x = 217,997,001.23/16,099.18
  6. Step 6: Final answer
    x = 13,540.88

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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.