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Finding the Fourth Proportional to 20,167.38, 30,251.06 and 9,605.38

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Solution

The fourth proportional to 20,167.38, 30,251.06 and 9,605.38 is: 14,408.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,167.38 : 30,251.06 = 9,605.38 : x
  2. Step 2: Convert to fraction form
    20,167.38/30,251.06 = 9,605.38/x
  3. Step 3: Cross multiply
    20,167.38x = 30,251.06 × 9,605.38
  4. Step 4: Simplify right side
    20,167.38x = 290,572,926.70
  5. Step 5: Solve for x
    x = 290,572,926.70/20,167.38
  6. Step 6: Final answer
    x = 14,408.07

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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.