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Finding the Fourth Proportional to 13,346.40, 20,019.36 and 3,986.46

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Solution

The fourth proportional to 13,346.40, 20,019.36 and 3,986.46 is: 5,979.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,346.40 : 20,019.36 = 3,986.46 : x
  2. Step 2: Convert to fraction form
    13,346.40/20,019.36 = 3,986.46/x
  3. Step 3: Cross multiply
    13,346.40x = 20,019.36 × 3,986.46
  4. Step 4: Simplify right side
    13,346.40x = 79,806,377.87
  5. Step 5: Solve for x
    x = 79,806,377.87/13,346.40
  6. Step 6: Final answer
    x = 5,979.62

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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.