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Finding the Fourth Proportional to 25,896.85, 38,847.48 and 7,176.89

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Solution

The fourth proportional to 25,896.85, 38,847.48 and 7,176.89 is: 10,765.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,896.85 : 38,847.48 = 7,176.89 : x
  2. Step 2: Convert to fraction form
    25,896.85/38,847.48 = 7,176.89/x
  3. Step 3: Cross multiply
    25,896.85x = 38,847.48 × 7,176.89
  4. Step 4: Simplify right side
    25,896.85x = 278,804,160.94
  5. Step 5: Solve for x
    x = 278,804,160.94/25,896.85
  6. Step 6: Final answer
    x = 10,765.95

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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.