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Finding the Fourth Proportional to 22,100.34, 33,156.59 and 6,517.97

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Solution

The fourth proportional to 22,100.34, 33,156.59 and 6,517.97 is: 9,778.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,100.34 : 33,156.59 = 6,517.97 : x
  2. Step 2: Convert to fraction form
    22,100.34/33,156.59 = 6,517.97/x
  3. Step 3: Cross multiply
    22,100.34x = 33,156.59 × 6,517.97
  4. Step 4: Simplify right side
    22,100.34x = 216,113,621.55
  5. Step 5: Solve for x
    x = 216,113,621.55/22,100.34
  6. Step 6: Final answer
    x = 9,778.74

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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.