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Finding the Fourth Proportional to 22,516.28, 33,771.86 and 6,099

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Solution

The fourth proportional to 22,516.28, 33,771.86 and 6,099 is: 9,147.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,516.28 : 33,771.86 = 6,099 : x
  2. Step 2: Convert to fraction form
    22,516.28/33,771.86 = 6,099/x
  3. Step 3: Cross multiply
    22,516.28x = 33,771.86 × 6,099
  4. Step 4: Simplify right side
    22,516.28x = 205,974,574.14
  5. Step 5: Solve for x
    x = 205,974,574.14/22,516.28
  6. Step 6: Final answer
    x = 9,147.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.