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Finding the Fourth Proportional to 22,965.20, 34,469.40 and 14,217.20

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Solution

The fourth proportional to 22,965.20, 34,469.40 and 14,217.20 is: 21,339.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,965.20 : 34,469.40 = 14,217.20 : x
  2. Step 2: Convert to fraction form
    22,965.20/34,469.40 = 14,217.20/x
  3. Step 3: Cross multiply
    22,965.20x = 34,469.40 × 14,217.20
  4. Step 4: Simplify right side
    22,965.20x = 490,058,353.68
  5. Step 5: Solve for x
    x = 490,058,353.68/22,965.20
  6. Step 6: Final answer
    x = 21,339.17

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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.