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Finding the Fourth Proportional to 20,233.75, 30,356.03 and 6,382.75

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Solution

The fourth proportional to 20,233.75, 30,356.03 and 6,382.75 is: 9,575.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,233.75 : 30,356.03 = 6,382.75 : x
  2. Step 2: Convert to fraction form
    20,233.75/30,356.03 = 6,382.75/x
  3. Step 3: Cross multiply
    20,233.75x = 30,356.03 × 6,382.75
  4. Step 4: Simplify right side
    20,233.75x = 193,754,950.48
  5. Step 5: Solve for x
    x = 193,754,950.48/20,233.75
  6. Step 6: Final answer
    x = 9,575.83

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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.