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Finding the Fourth Proportional to 22,316.78, 33,474.36 and 6,734

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Solution

The fourth proportional to 22,316.78, 33,474.36 and 6,734 is: 10,100.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,316.78 : 33,474.36 = 6,734 : x
  2. Step 2: Convert to fraction form
    22,316.78/33,474.36 = 6,734/x
  3. Step 3: Cross multiply
    22,316.78x = 33,474.36 × 6,734
  4. Step 4: Simplify right side
    22,316.78x = 225,416,340.24
  5. Step 5: Solve for x
    x = 225,416,340.24/22,316.78
  6. Step 6: Final answer
    x = 10,100.76

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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.