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Finding the Fourth Proportional to 13,563.90, 20,314.26 and 13,190.20

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Solution

The fourth proportional to 13,563.90, 20,314.26 and 13,190.20 is: 19,754.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,563.90 : 20,314.26 = 13,190.20 : x
  2. Step 2: Convert to fraction form
    13,563.90/20,314.26 = 13,190.20/x
  3. Step 3: Cross multiply
    13,563.90x = 20,314.26 × 13,190.20
  4. Step 4: Simplify right side
    13,563.90x = 267,949,152.25
  5. Step 5: Solve for x
    x = 267,949,152.25/13,563.90
  6. Step 6: Final answer
    x = 19,754.58

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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.