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Finding the Fourth Proportional to 23,842.80, 35,764.23 and 8,260.42

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Solution

The fourth proportional to 23,842.80, 35,764.23 and 8,260.42 is: 12,390.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,842.80 : 35,764.23 = 8,260.42 : x
  2. Step 2: Convert to fraction form
    23,842.80/35,764.23 = 8,260.42/x
  3. Step 3: Cross multiply
    23,842.80x = 35,764.23 × 8,260.42
  4. Step 4: Simplify right side
    23,842.80x = 295,427,560.78
  5. Step 5: Solve for x
    x = 295,427,560.78/23,842.80
  6. Step 6: Final answer
    x = 12,390.64

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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.