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Finding the Fourth Proportional to 13,391.70, 20,065.68 and 9,489.12

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Solution

The fourth proportional to 13,391.70, 20,065.68 and 9,489.12 is: 14,218.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,391.70 : 20,065.68 = 9,489.12 : x
  2. Step 2: Convert to fraction form
    13,391.70/20,065.68 = 9,489.12/x
  3. Step 3: Cross multiply
    13,391.70x = 20,065.68 × 9,489.12
  4. Step 4: Simplify right side
    13,391.70x = 190,405,645.40
  5. Step 5: Solve for x
    x = 190,405,645.40/13,391.70
  6. Step 6: Final answer
    x = 14,218.18

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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.