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Finding the Fourth Proportional to 25,832.66, 38,739.88 and 8,296.57

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Solution

The fourth proportional to 25,832.66, 38,739.88 and 8,296.57 is: 12,441.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,832.66 : 38,739.88 = 8,296.57 : x
  2. Step 2: Convert to fraction form
    25,832.66/38,739.88 = 8,296.57/x
  3. Step 3: Cross multiply
    25,832.66x = 38,739.88 × 8,296.57
  4. Step 4: Simplify right side
    25,832.66x = 321,408,008.62
  5. Step 5: Solve for x
    x = 321,408,008.62/25,832.66
  6. Step 6: Final answer
    x = 12,441.92

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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.