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Finding the Fourth Proportional to 23,882.52, 35,824.05 and 7,242.42

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Solution

The fourth proportional to 23,882.52, 35,824.05 and 7,242.42 is: 10,863.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,882.52 : 35,824.05 = 7,242.42 : x
  2. Step 2: Convert to fraction form
    23,882.52/35,824.05 = 7,242.42/x
  3. Step 3: Cross multiply
    23,882.52x = 35,824.05 × 7,242.42
  4. Step 4: Simplify right side
    23,882.52x = 259,452,816.20
  5. Step 5: Solve for x
    x = 259,452,816.20/23,882.52
  6. Step 6: Final answer
    x = 10,863.71

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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.