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Finding the Fourth Proportional to 27,882.95, 41,823.74 and 6,822.83

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Solution

The fourth proportional to 27,882.95, 41,823.74 and 6,822.83 is: 10,234.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,882.95 : 41,823.74 = 6,822.83 : x
  2. Step 2: Convert to fraction form
    27,882.95/41,823.74 = 6,822.83/x
  3. Step 3: Cross multiply
    27,882.95x = 41,823.74 × 6,822.83
  4. Step 4: Simplify right side
    27,882.95x = 285,356,075.92
  5. Step 5: Solve for x
    x = 285,356,075.92/27,882.95
  6. Step 6: Final answer
    x = 10,234.07

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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.