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Finding the Fourth Proportional to 25,777.59, 38,658.15 and 8,243.25

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Solution

The fourth proportional to 25,777.59, 38,658.15 and 8,243.25 is: 12,362.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,777.59 : 38,658.15 = 8,243.25 : x
  2. Step 2: Convert to fraction form
    25,777.59/38,658.15 = 8,243.25/x
  3. Step 3: Cross multiply
    25,777.59x = 38,658.15 × 8,243.25
  4. Step 4: Simplify right side
    25,777.59x = 318,668,794.99
  5. Step 5: Solve for x
    x = 318,668,794.99/25,777.59
  6. Step 6: Final answer
    x = 12,362.24

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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.