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Finding the Fourth Proportional to 27,932.33, 41,898.94 and 6,872.42

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Solution

The fourth proportional to 27,932.33, 41,898.94 and 6,872.42 is: 10,308.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,932.33 : 41,898.94 = 6,872.42 : x
  2. Step 2: Convert to fraction form
    27,932.33/41,898.94 = 6,872.42/x
  3. Step 3: Cross multiply
    27,932.33x = 41,898.94 × 6,872.42
  4. Step 4: Simplify right side
    27,932.33x = 287,947,113.23
  5. Step 5: Solve for x
    x = 287,947,113.23/27,932.33
  6. Step 6: Final answer
    x = 10,308.74

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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.