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Finding the Fourth Proportional to 22,374.32, 33,560.70 and 5,734.49

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Solution

The fourth proportional to 22,374.32, 33,560.70 and 5,734.49 is: 8,601.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,374.32 : 33,560.70 = 5,734.49 : x
  2. Step 2: Convert to fraction form
    22,374.32/33,560.70 = 5,734.49/x
  3. Step 3: Cross multiply
    22,374.32x = 33,560.70 × 5,734.49
  4. Step 4: Simplify right side
    22,374.32x = 192,453,498.54
  5. Step 5: Solve for x
    x = 192,453,498.54/22,374.32
  6. Step 6: Final answer
    x = 8,601.54

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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.