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Finding the Fourth Proportional to 22,258.74, 33,391.41 and 6,463.90

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Solution

The fourth proportional to 22,258.74, 33,391.41 and 6,463.90 is: 9,696.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,258.74 : 33,391.41 = 6,463.90 : x
  2. Step 2: Convert to fraction form
    22,258.74/33,391.41 = 6,463.90/x
  3. Step 3: Cross multiply
    22,258.74x = 33,391.41 × 6,463.90
  4. Step 4: Simplify right side
    22,258.74x = 215,838,735.10
  5. Step 5: Solve for x
    x = 215,838,735.10/22,258.74
  6. Step 6: Final answer
    x = 9,696.81

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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.