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Finding the Fourth Proportional to 20,408.14, 28,166.33 and 12,454.99

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Solution

The fourth proportional to 20,408.14, 28,166.33 and 12,454.99 is: 17,189.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,408.14 : 28,166.33 = 12,454.99 : x
  2. Step 2: Convert to fraction form
    20,408.14/28,166.33 = 12,454.99/x
  3. Step 3: Cross multiply
    20,408.14x = 28,166.33 × 12,454.99
  4. Step 4: Simplify right side
    20,408.14x = 350,811,358.49
  5. Step 5: Solve for x
    x = 350,811,358.49/20,408.14
  6. Step 6: Final answer
    x = 17,189.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.