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Finding the Fourth Proportional to 15,805.33, 23,711.41 and 8,408.71

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Solution

The fourth proportional to 15,805.33, 23,711.41 and 8,408.71 is: 12,614.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,805.33 : 23,711.41 = 8,408.71 : x
  2. Step 2: Convert to fraction form
    15,805.33/23,711.41 = 8,408.71/x
  3. Step 3: Cross multiply
    15,805.33x = 23,711.41 × 8,408.71
  4. Step 4: Simplify right side
    15,805.33x = 199,382,370.38
  5. Step 5: Solve for x
    x = 199,382,370.38/15,805.33
  6. Step 6: Final answer
    x = 12,614.89

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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.