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Finding the Fourth Proportional to 38,461.44, 57,694.26 and 12,164.22

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Solution

The fourth proportional to 38,461.44, 57,694.26 and 12,164.22 is: 18,246.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,461.44 : 57,694.26 = 12,164.22 : x
  2. Step 2: Convert to fraction form
    38,461.44/57,694.26 = 12,164.22/x
  3. Step 3: Cross multiply
    38,461.44x = 57,694.26 × 12,164.22
  4. Step 4: Simplify right side
    38,461.44x = 701,805,671.38
  5. Step 5: Solve for x
    x = 701,805,671.38/38,461.44
  6. Step 6: Final answer
    x = 18,246.99

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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.