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Finding the Fourth Proportional to 13,471.35, 20,191.90 and 4,578.38

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Solution

The fourth proportional to 13,471.35, 20,191.90 and 4,578.38 is: 6,862.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,471.35 : 20,191.90 = 4,578.38 : x
  2. Step 2: Convert to fraction form
    13,471.35/20,191.90 = 4,578.38/x
  3. Step 3: Cross multiply
    13,471.35x = 20,191.90 × 4,578.38
  4. Step 4: Simplify right side
    13,471.35x = 92,446,137.47
  5. Step 5: Solve for x
    x = 92,446,137.47/13,471.35
  6. Step 6: Final answer
    x = 6,862.43

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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.