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Finding the Fourth Proportional to 13,452.90, 20,189.82 and 9,321.84

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Solution

The fourth proportional to 13,452.90, 20,189.82 and 9,321.84 is: 13,990.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,452.90 : 20,189.82 = 9,321.84 : x
  2. Step 2: Convert to fraction form
    13,452.90/20,189.82 = 9,321.84/x
  3. Step 3: Cross multiply
    13,452.90x = 20,189.82 × 9,321.84
  4. Step 4: Simplify right side
    13,452.90x = 188,206,271.67
  5. Step 5: Solve for x
    x = 188,206,271.67/13,452.90
  6. Step 6: Final answer
    x = 13,990.01

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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.