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Finding the Fourth Proportional to 22,210.29, 33,311.10 and 6,414.21

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Solution

The fourth proportional to 22,210.29, 33,311.10 and 6,414.21 is: 9,620.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,210.29 : 33,311.10 = 6,414.21 : x
  2. Step 2: Convert to fraction form
    22,210.29/33,311.10 = 6,414.21/x
  3. Step 3: Cross multiply
    22,210.29x = 33,311.10 × 6,414.21
  4. Step 4: Simplify right side
    22,210.29x = 213,664,390.73
  5. Step 5: Solve for x
    x = 213,664,390.73/22,210.29
  6. Step 6: Final answer
    x = 9,620.06

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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.