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Finding the Fourth Proportional to 20,218.32, 30,326.38 and 7,737.39

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Solution

The fourth proportional to 20,218.32, 30,326.38 and 7,737.39 is: 11,605.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,218.32 : 30,326.38 = 7,737.39 : x
  2. Step 2: Convert to fraction form
    20,218.32/30,326.38 = 7,737.39/x
  3. Step 3: Cross multiply
    20,218.32x = 30,326.38 × 7,737.39
  4. Step 4: Simplify right side
    20,218.32x = 234,647,029.35
  5. Step 5: Solve for x
    x = 234,647,029.35/20,218.32
  6. Step 6: Final answer
    x = 11,605.66

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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.