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Finding the Fourth Proportional to 13,442.90, 20,149.22 and 6,522.26

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Solution

The fourth proportional to 13,442.90, 20,149.22 and 6,522.26 is: 9,776.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442.90 : 20,149.22 = 6,522.26 : x
  2. Step 2: Convert to fraction form
    13,442.90/20,149.22 = 6,522.26/x
  3. Step 3: Cross multiply
    13,442.90x = 20,149.22 × 6,522.26
  4. Step 4: Simplify right side
    13,442.90x = 131,418,367.20
  5. Step 5: Solve for x
    x = 131,418,367.20/13,442.90
  6. Step 6: Final answer
    x = 9,776.05

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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.