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Finding the Fourth Proportional to 25,648.36, 35,390.82 and 16,229.80

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Solution

The fourth proportional to 25,648.36, 35,390.82 and 16,229.80 is: 22,394.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,648.36 : 35,390.82 = 16,229.80 : x
  2. Step 2: Convert to fraction form
    25,648.36/35,390.82 = 16,229.80/x
  3. Step 3: Cross multiply
    25,648.36x = 35,390.82 × 16,229.80
  4. Step 4: Simplify right side
    25,648.36x = 574,385,930.44
  5. Step 5: Solve for x
    x = 574,385,930.44/25,648.36
  6. Step 6: Final answer
    x = 22,394.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.