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Finding the Fourth Proportional to 27,294.77, 40,942.67 and 8,574.46

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Solution

The fourth proportional to 27,294.77, 40,942.67 and 8,574.46 is: 12,861.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,294.77 : 40,942.67 = 8,574.46 : x
  2. Step 2: Convert to fraction form
    27,294.77/40,942.67 = 8,574.46/x
  3. Step 3: Cross multiply
    27,294.77x = 40,942.67 × 8,574.46
  4. Step 4: Simplify right side
    27,294.77x = 351,061,140.98
  5. Step 5: Solve for x
    x = 351,061,140.98/27,294.77
  6. Step 6: Final answer
    x = 12,861.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.