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Finding the Fourth Proportional to 22,496.68, 33,734.94 and 8,641

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Solution

The fourth proportional to 22,496.68, 33,734.94 and 8,641 is: 12,957.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,496.68 : 33,734.94 = 8,641 : x
  2. Step 2: Convert to fraction form
    22,496.68/33,734.94 = 8,641/x
  3. Step 3: Cross multiply
    22,496.68x = 33,734.94 × 8,641
  4. Step 4: Simplify right side
    22,496.68x = 291,503,616.54
  5. Step 5: Solve for x
    x = 291,503,616.54/22,496.68
  6. Step 6: Final answer
    x = 12,957.63

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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.