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Finding the Fourth Proportional to 25,917.40, 38,866.34 and 8,382.52

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Solution

The fourth proportional to 25,917.40, 38,866.34 and 8,382.52 is: 12,570.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,917.40 : 38,866.34 = 8,382.52 : x
  2. Step 2: Convert to fraction form
    25,917.40/38,866.34 = 8,382.52/x
  3. Step 3: Cross multiply
    25,917.40x = 38,866.34 × 8,382.52
  4. Step 4: Simplify right side
    25,917.40x = 325,797,872.38
  5. Step 5: Solve for x
    x = 325,797,872.38/25,917.40
  6. Step 6: Final answer
    x = 12,570.62

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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.