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Finding the Fourth Proportional to 22,258.16, 33,388.97 and 6,463.46

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Solution

The fourth proportional to 22,258.16, 33,388.97 and 6,463.46 is: 9,695.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,258.16 : 33,388.97 = 6,463.46 : x
  2. Step 2: Convert to fraction form
    22,258.16/33,388.97 = 6,463.46/x
  3. Step 3: Cross multiply
    22,258.16x = 33,388.97 × 6,463.46
  4. Step 4: Simplify right side
    22,258.16x = 215,808,121.25
  5. Step 5: Solve for x
    x = 215,808,121.25/22,258.16
  6. Step 6: Final answer
    x = 9,695.68

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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.