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Finding the Fourth Proportional to 27,868.98, 41,803.50 and 8,147.10

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Solution

The fourth proportional to 27,868.98, 41,803.50 and 8,147.10 is: 12,220.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,868.98 : 41,803.50 = 8,147.10 : x
  2. Step 2: Convert to fraction form
    27,868.98/41,803.50 = 8,147.10/x
  3. Step 3: Cross multiply
    27,868.98x = 41,803.50 × 8,147.10
  4. Step 4: Simplify right side
    27,868.98x = 340,577,294.85
  5. Step 5: Solve for x
    x = 340,577,294.85/27,868.98
  6. Step 6: Final answer
    x = 12,220.66

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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.