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Finding the Fourth Proportional to 25,385.24, 38,081.98 and 7,851

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Solution

The fourth proportional to 25,385.24, 38,081.98 and 7,851 is: 11,777.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,385.24 : 38,081.98 = 7,851 : x
  2. Step 2: Convert to fraction form
    25,385.24/38,081.98 = 7,851/x
  3. Step 3: Cross multiply
    25,385.24x = 38,081.98 × 7,851
  4. Step 4: Simplify right side
    25,385.24x = 298,981,624.98
  5. Step 5: Solve for x
    x = 298,981,624.98/25,385.24
  6. Step 6: Final answer
    x = 11,777.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.