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Finding the Fourth Proportional to 25,961.08, 38,937.96 and 8,431.12

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Solution

The fourth proportional to 25,961.08, 38,937.96 and 8,431.12 is: 12,645.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,961.08 : 38,937.96 = 8,431.12 : x
  2. Step 2: Convert to fraction form
    25,961.08/38,937.96 = 8,431.12/x
  3. Step 3: Cross multiply
    25,961.08x = 38,937.96 × 8,431.12
  4. Step 4: Simplify right side
    25,961.08x = 328,290,613.32
  5. Step 5: Solve for x
    x = 328,290,613.32/25,961.08
  6. Step 6: Final answer
    x = 12,645.49

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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.