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Finding the Fourth Proportional to 22,735.28, 34,103.04 and 7,944.14

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Solution

The fourth proportional to 22,735.28, 34,103.04 and 7,944.14 is: 11,916.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,735.28 : 34,103.04 = 7,944.14 : x
  2. Step 2: Convert to fraction form
    22,735.28/34,103.04 = 7,944.14/x
  3. Step 3: Cross multiply
    22,735.28x = 34,103.04 × 7,944.14
  4. Step 4: Simplify right side
    22,735.28x = 270,919,324.19
  5. Step 5: Solve for x
    x = 270,919,324.19/22,735.28
  6. Step 6: Final answer
    x = 11,916.25

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1.5x scale

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.