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Finding the Fourth Proportional to 22,267.49, 33,401.65 and 10,414.71

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Solution

The fourth proportional to 22,267.49, 33,401.65 and 10,414.71 is: 15,622.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,267.49 : 33,401.65 = 10,414.71 : x
  2. Step 2: Convert to fraction form
    22,267.49/33,401.65 = 10,414.71/x
  3. Step 3: Cross multiply
    22,267.49x = 33,401.65 × 10,414.71
  4. Step 4: Simplify right side
    22,267.49x = 347,868,498.27
  5. Step 5: Solve for x
    x = 347,868,498.27/22,267.49
  6. Step 6: Final answer
    x = 15,622.26

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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.