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Finding the Fourth Proportional to 25,180.86, 37,771.30 and 8,542.58

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Solution

The fourth proportional to 25,180.86, 37,771.30 and 8,542.58 is: 12,813.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,180.86 : 37,771.30 = 8,542.58 : x
  2. Step 2: Convert to fraction form
    25,180.86/37,771.30 = 8,542.58/x
  3. Step 3: Cross multiply
    25,180.86x = 37,771.30 × 8,542.58
  4. Step 4: Simplify right side
    25,180.86x = 322,664,351.95
  5. Step 5: Solve for x
    x = 322,664,351.95/25,180.86
  6. Step 6: Final answer
    x = 12,813.87

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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.