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Finding the Fourth Proportional to 13,480.31, 20,189.07 and 13,013.12

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Solution

The fourth proportional to 13,480.31, 20,189.07 and 13,013.12 is: 19,489.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,480.31 : 20,189.07 = 13,013.12 : x
  2. Step 2: Convert to fraction form
    13,480.31/20,189.07 = 13,013.12/x
  3. Step 3: Cross multiply
    13,480.31x = 20,189.07 × 13,013.12
  4. Step 4: Simplify right side
    13,480.31x = 262,722,689.65
  5. Step 5: Solve for x
    x = 262,722,689.65/13,480.31
  6. Step 6: Final answer
    x = 19,489.37

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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.