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Finding the Fourth Proportional to 25,049.80, 37,570.92 and 8,407

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Solution

The fourth proportional to 25,049.80, 37,570.92 and 8,407 is: 12,609.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,049.80 : 37,570.92 = 8,407 : x
  2. Step 2: Convert to fraction form
    25,049.80/37,570.92 = 8,407/x
  3. Step 3: Cross multiply
    25,049.80x = 37,570.92 × 8,407
  4. Step 4: Simplify right side
    25,049.80x = 315,858,724.44
  5. Step 5: Solve for x
    x = 315,858,724.44/25,049.80
  6. Step 6: Final answer
    x = 12,609.23

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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.