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Finding the Fourth Proportional to 25,773.13, 38,651.49 and 8,238.86

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Solution

The fourth proportional to 25,773.13, 38,651.49 and 8,238.86 is: 12,355.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,773.13 : 38,651.49 = 8,238.86 : x
  2. Step 2: Convert to fraction form
    25,773.13/38,651.49 = 8,238.86/x
  3. Step 3: Cross multiply
    25,773.13x = 38,651.49 × 8,238.86
  4. Step 4: Simplify right side
    25,773.13x = 318,444,021.64
  5. Step 5: Solve for x
    x = 318,444,021.64/25,773.13
  6. Step 6: Final answer
    x = 12,355.66

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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.