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Finding the Fourth Proportional to 22,171.36, 33,258.84 and 6,589

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Solution

The fourth proportional to 22,171.36, 33,258.84 and 6,589 is: 9,884.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,171.36 : 33,258.84 = 6,589 : x
  2. Step 2: Convert to fraction form
    22,171.36/33,258.84 = 6,589/x
  3. Step 3: Cross multiply
    22,171.36x = 33,258.84 × 6,589
  4. Step 4: Simplify right side
    22,171.36x = 219,142,496.76
  5. Step 5: Solve for x
    x = 219,142,496.76/22,171.36
  6. Step 6: Final answer
    x = 9,884.03

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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.