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Finding the Fourth Proportional to 25,777.26, 38,657.67 and 8,242.98

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Solution

The fourth proportional to 25,777.26, 38,657.67 and 8,242.98 is: 12,361.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,777.26 : 38,657.67 = 8,242.98 : x
  2. Step 2: Convert to fraction form
    25,777.26/38,657.67 = 8,242.98/x
  3. Step 3: Cross multiply
    25,777.26x = 38,657.67 × 8,242.98
  4. Step 4: Simplify right side
    25,777.26x = 318,654,400.66
  5. Step 5: Solve for x
    x = 318,654,400.66/25,777.26
  6. Step 6: Final answer
    x = 12,361.84

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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.