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Finding the Fourth Proportional to 22,161.29, 30,578.76 and 12,469.40

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Solution

The fourth proportional to 22,161.29, 30,578.76 and 12,469.40 is: 17,205.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,161.29 : 30,578.76 = 12,469.40 : x
  2. Step 2: Convert to fraction form
    22,161.29/30,578.76 = 12,469.40/x
  3. Step 3: Cross multiply
    22,161.29x = 30,578.76 × 12,469.40
  4. Step 4: Simplify right side
    22,161.29x = 381,298,752.36
  5. Step 5: Solve for x
    x = 381,298,752.36/22,161.29
  6. Step 6: Final answer
    x = 17,205.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.