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Finding the Fourth Proportional to 22,606.44, 33,911.92 and 8,378.74

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Solution

The fourth proportional to 22,606.44, 33,911.92 and 8,378.74 is: 12,568.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,606.44 : 33,911.92 = 8,378.74 : x
  2. Step 2: Convert to fraction form
    22,606.44/33,911.92 = 8,378.74/x
  3. Step 3: Cross multiply
    22,606.44x = 33,911.92 × 8,378.74
  4. Step 4: Simplify right side
    22,606.44x = 284,139,160.58
  5. Step 5: Solve for x
    x = 284,139,160.58/22,606.44
  6. Step 6: Final answer
    x = 12,568.95

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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.