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Finding the Fourth Proportional to 25,667.66, 38,502.84 and 8,138.85

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Solution

The fourth proportional to 25,667.66, 38,502.84 and 8,138.85 is: 12,208.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,667.66 : 38,502.84 = 8,138.85 : x
  2. Step 2: Convert to fraction form
    25,667.66/38,502.84 = 8,138.85/x
  3. Step 3: Cross multiply
    25,667.66x = 38,502.84 × 8,138.85
  4. Step 4: Simplify right side
    25,667.66x = 313,368,839.33
  5. Step 5: Solve for x
    x = 313,368,839.33/25,667.66
  6. Step 6: Final answer
    x = 12,208.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.