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Finding the Fourth Proportional to 25,799.66, 38,705.06 and 8,029.97

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Solution

The fourth proportional to 25,799.66, 38,705.06 and 8,029.97 is: 12,046.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,799.66 : 38,705.06 = 8,029.97 : x
  2. Step 2: Convert to fraction form
    25,799.66/38,705.06 = 8,029.97/x
  3. Step 3: Cross multiply
    25,799.66x = 38,705.06 × 8,029.97
  4. Step 4: Simplify right side
    25,799.66x = 310,800,470.65
  5. Step 5: Solve for x
    x = 310,800,470.65/25,799.66
  6. Step 6: Final answer
    x = 12,046.69

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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.