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Finding the Fourth Proportional to 25,682.53, 38,522.09 and 8,150.99

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Solution

The fourth proportional to 25,682.53, 38,522.09 and 8,150.99 is: 12,225.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,682.53 : 38,522.09 = 8,150.99 : x
  2. Step 2: Convert to fraction form
    25,682.53/38,522.09 = 8,150.99/x
  3. Step 3: Cross multiply
    25,682.53x = 38,522.09 × 8,150.99
  4. Step 4: Simplify right side
    25,682.53x = 313,993,170.37
  5. Step 5: Solve for x
    x = 313,993,170.37/25,682.53
  6. Step 6: Final answer
    x = 12,225.94

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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.