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Finding the Fourth Proportional to 13,578.55, 20,372.07 and 4,091.23

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Solution

The fourth proportional to 13,578.55, 20,372.07 and 4,091.23 is: 6,138.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,578.55 : 20,372.07 = 4,091.23 : x
  2. Step 2: Convert to fraction form
    13,578.55/20,372.07 = 4,091.23/x
  3. Step 3: Cross multiply
    13,578.55x = 20,372.07 × 4,091.23
  4. Step 4: Simplify right side
    13,578.55x = 83,346,823.95
  5. Step 5: Solve for x
    x = 83,346,823.95/13,578.55
  6. Step 6: Final answer
    x = 6,138.12

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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.