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Finding the Fourth Proportional to 25,773.66, 38,667.33 and 8,243.82

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Solution

The fourth proportional to 25,773.66, 38,667.33 and 8,243.82 is: 12,367.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,773.66 : 38,667.33 = 8,243.82 : x
  2. Step 2: Convert to fraction form
    25,773.66/38,667.33 = 8,243.82/x
  3. Step 3: Cross multiply
    25,773.66x = 38,667.33 × 8,243.82
  4. Step 4: Simplify right side
    25,773.66x = 318,766,508.40
  5. Step 5: Solve for x
    x = 318,766,508.40/25,773.66
  6. Step 6: Final answer
    x = 12,367.92

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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.