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Finding the Fourth Proportional to 25,194.29, 34,771.50 and 16,267.77

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Solution

The fourth proportional to 25,194.29, 34,771.50 and 16,267.77 is: 22,451.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,194.29 : 34,771.50 = 16,267.77 : x
  2. Step 2: Convert to fraction form
    25,194.29/34,771.50 = 16,267.77/x
  3. Step 3: Cross multiply
    25,194.29x = 34,771.50 × 16,267.77
  4. Step 4: Simplify right side
    25,194.29x = 565,654,764.56
  5. Step 5: Solve for x
    x = 565,654,764.56/25,194.29
  6. Step 6: Final answer
    x = 22,451.71

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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.