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Finding the Fourth Proportional to 38,145.14, 57,223.84 and 11,843.72

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Solution

The fourth proportional to 38,145.14, 57,223.84 and 11,843.72 is: 17,767.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,145.14 : 57,223.84 = 11,843.72 : x
  2. Step 2: Convert to fraction form
    38,145.14/57,223.84 = 11,843.72/x
  3. Step 3: Cross multiply
    38,145.14x = 57,223.84 × 11,843.72
  4. Step 4: Simplify right side
    38,145.14x = 677,743,138.28
  5. Step 5: Solve for x
    x = 677,743,138.28/38,145.14
  6. Step 6: Final answer
    x = 17,767.48

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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.