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Finding the Fourth Proportional to 21,233.62, 31,850.31 and 7,382.50

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Solution

The fourth proportional to 21,233.62, 31,850.31 and 7,382.50 is: 11,073.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,233.62 : 31,850.31 = 7,382.50 : x
  2. Step 2: Convert to fraction form
    21,233.62/31,850.31 = 7,382.50/x
  3. Step 3: Cross multiply
    21,233.62x = 31,850.31 × 7,382.50
  4. Step 4: Simplify right side
    21,233.62x = 235,134,913.58
  5. Step 5: Solve for x
    x = 235,134,913.58/21,233.62
  6. Step 6: Final answer
    x = 11,073.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.