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Finding the Fourth Proportional to 12,266.93, 18,401.49 and 3,947.69

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Solution

The fourth proportional to 12,266.93, 18,401.49 and 3,947.69 is: 5,921.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,266.93 : 18,401.49 = 3,947.69 : x
  2. Step 2: Convert to fraction form
    12,266.93/18,401.49 = 3,947.69/x
  3. Step 3: Cross multiply
    12,266.93x = 18,401.49 × 3,947.69
  4. Step 4: Simplify right side
    12,266.93x = 72,643,378.06
  5. Step 5: Solve for x
    x = 72,643,378.06/12,266.93
  6. Step 6: Final answer
    x = 5,921.89

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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.