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Finding the Fourth Proportional to 22,251.70, 33,382.82 and 7,258.74

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Solution

The fourth proportional to 22,251.70, 33,382.82 and 7,258.74 is: 10,889.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,251.70 : 33,382.82 = 7,258.74 : x
  2. Step 2: Convert to fraction form
    22,251.70/33,382.82 = 7,258.74/x
  3. Step 3: Cross multiply
    22,251.70x = 33,382.82 × 7,258.74
  4. Step 4: Simplify right side
    22,251.70x = 242,317,210.85
  5. Step 5: Solve for x
    x = 242,317,210.85/22,251.70
  6. Step 6: Final answer
    x = 10,889.83

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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.