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Finding the Fourth Proportional to 21,229.42, 31,843.78 and 5,434.32

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Solution

The fourth proportional to 21,229.42, 31,843.78 and 5,434.32 is: 8,151.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,229.42 : 31,843.78 = 5,434.32 : x
  2. Step 2: Convert to fraction form
    21,229.42/31,843.78 = 5,434.32/x
  3. Step 3: Cross multiply
    21,229.42x = 31,843.78 × 5,434.32
  4. Step 4: Simplify right side
    21,229.42x = 173,049,158.24
  5. Step 5: Solve for x
    x = 173,049,158.24/21,229.42
  6. Step 6: Final answer
    x = 8,151.39

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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.