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Finding the Fourth Proportional to 13,642.10, 20,456.43 and 4,406.90

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Solution

The fourth proportional to 13,642.10, 20,456.43 and 4,406.90 is: 6,608.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.10 : 20,456.43 = 4,406.90 : x
  2. Step 2: Convert to fraction form
    13,642.10/20,456.43 = 4,406.90/x
  3. Step 3: Cross multiply
    13,642.10x = 20,456.43 × 4,406.90
  4. Step 4: Simplify right side
    13,642.10x = 90,149,441.37
  5. Step 5: Solve for x
    x = 90,149,441.37/13,642.10
  6. Step 6: Final answer
    x = 6,608.18

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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.