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Finding the Fourth Proportional to 22,327.24, 33,491.67 and 6,745

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Solution

The fourth proportional to 22,327.24, 33,491.67 and 6,745 is: 10,117.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,327.24 : 33,491.67 = 6,745 : x
  2. Step 2: Convert to fraction form
    22,327.24/33,491.67 = 6,745/x
  3. Step 3: Cross multiply
    22,327.24x = 33,491.67 × 6,745
  4. Step 4: Simplify right side
    22,327.24x = 225,901,314.15
  5. Step 5: Solve for x
    x = 225,901,314.15/22,327.24
  6. Step 6: Final answer
    x = 10,117.74

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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.