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Finding the Fourth Proportional to 25,766.89, 38,825.87 and 21,189.44

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Solution

The fourth proportional to 25,766.89, 38,825.87 and 21,189.44 is: 31,928.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,766.89 : 38,825.87 = 21,189.44 : x
  2. Step 2: Convert to fraction form
    25,766.89/38,825.87 = 21,189.44/x
  3. Step 3: Cross multiply
    25,766.89x = 38,825.87 × 21,189.44
  4. Step 4: Simplify right side
    25,766.89x = 822,698,433.93
  5. Step 5: Solve for x
    x = 822,698,433.93/25,766.89
  6. Step 6: Final answer
    x = 31,928.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.