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Finding the Fourth Proportional to 23,833.92, 35,754.24 and 8,034.24

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Solution

The fourth proportional to 23,833.92, 35,754.24 and 8,034.24 is: 12,052.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,833.92 : 35,754.24 = 8,034.24 : x
  2. Step 2: Convert to fraction form
    23,833.92/35,754.24 = 8,034.24/x
  3. Step 3: Cross multiply
    23,833.92x = 35,754.24 × 8,034.24
  4. Step 4: Simplify right side
    23,833.92x = 287,258,145.18
  5. Step 5: Solve for x
    x = 287,258,145.18/23,833.92
  6. Step 6: Final answer
    x = 12,052.49

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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.