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Finding the Fourth Proportional to 13,442.52, 20,170.80 and 6,430.44

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Solution

The fourth proportional to 13,442.52, 20,170.80 and 6,430.44 is: 9,649.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442.52 : 20,170.80 = 6,430.44 : x
  2. Step 2: Convert to fraction form
    13,442.52/20,170.80 = 6,430.44/x
  3. Step 3: Cross multiply
    13,442.52x = 20,170.80 × 6,430.44
  4. Step 4: Simplify right side
    13,442.52x = 129,707,119.15
  5. Step 5: Solve for x
    x = 129,707,119.15/13,442.52
  6. Step 6: Final answer
    x = 9,649.02

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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.