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Finding the Fourth Proportional to 21,222.80, 31,839.13 and 6,229.32

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Solution

The fourth proportional to 21,222.80, 31,839.13 and 6,229.32 is: 9,345.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,222.80 : 31,839.13 = 6,229.32 : x
  2. Step 2: Convert to fraction form
    21,222.80/31,839.13 = 6,229.32/x
  3. Step 3: Cross multiply
    21,222.80x = 31,839.13 × 6,229.32
  4. Step 4: Simplify right side
    21,222.80x = 198,336,017.68
  5. Step 5: Solve for x
    x = 198,336,017.68/21,222.80
  6. Step 6: Final answer
    x = 9,345.42

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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.