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Finding the Fourth Proportional to 25,777.89, 38,647.94 and 8,237.61

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Solution

The fourth proportional to 25,777.89, 38,647.94 and 8,237.61 is: 12,350.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,777.89 : 38,647.94 = 8,237.61 : x
  2. Step 2: Convert to fraction form
    25,777.89/38,647.94 = 8,237.61/x
  3. Step 3: Cross multiply
    25,777.89x = 38,647.94 × 8,237.61
  4. Step 4: Simplify right side
    25,777.89x = 318,366,615.84
  5. Step 5: Solve for x
    x = 318,366,615.84/25,777.89
  6. Step 6: Final answer
    x = 12,350.38

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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.