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Finding the Fourth Proportional to 38,146.40, 57,226.22 and 12,843.52

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Solution

The fourth proportional to 38,146.40, 57,226.22 and 12,843.52 is: 19,267.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,146.40 : 57,226.22 = 12,843.52 : x
  2. Step 2: Convert to fraction form
    38,146.40/57,226.22 = 12,843.52/x
  3. Step 3: Cross multiply
    38,146.40x = 57,226.22 × 12,843.52
  4. Step 4: Simplify right side
    38,146.40x = 734,986,101.09
  5. Step 5: Solve for x
    x = 734,986,101.09/38,146.40
  6. Step 6: Final answer
    x = 19,267.51

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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.