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Finding the Fourth Proportional to 13,563.18, 20,343.96 and 3,702.78

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Solution

The fourth proportional to 13,563.18, 20,343.96 and 3,702.78 is: 5,553.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,563.18 : 20,343.96 = 3,702.78 : x
  2. Step 2: Convert to fraction form
    13,563.18/20,343.96 = 3,702.78/x
  3. Step 3: Cross multiply
    13,563.18x = 20,343.96 × 3,702.78
  4. Step 4: Simplify right side
    13,563.18x = 75,329,208.21
  5. Step 5: Solve for x
    x = 75,329,208.21/13,563.18
  6. Step 6: Final answer
    x = 5,553.95

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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.