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Finding the Fourth Proportional to 18,468.95, 27,715.57 and 6,782.27

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Solution

The fourth proportional to 18,468.95, 27,715.57 and 6,782.27 is: 10,177.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,468.95 : 27,715.57 = 6,782.27 : x
  2. Step 2: Convert to fraction form
    18,468.95/27,715.57 = 6,782.27/x
  3. Step 3: Cross multiply
    18,468.95x = 27,715.57 × 6,782.27
  4. Step 4: Simplify right side
    18,468.95x = 187,974,323.41
  5. Step 5: Solve for x
    x = 187,974,323.41/18,468.95
  6. Step 6: Final answer
    x = 10,177.86

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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.