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Finding the Fourth Proportional to 27,824.77, 41,737.16 and 8,104.87

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Solution

The fourth proportional to 27,824.77, 41,737.16 and 8,104.87 is: 12,157.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,824.77 : 41,737.16 = 8,104.87 : x
  2. Step 2: Convert to fraction form
    27,824.77/41,737.16 = 8,104.87/x
  3. Step 3: Cross multiply
    27,824.77x = 41,737.16 × 8,104.87
  4. Step 4: Simplify right side
    27,824.77x = 338,274,111.10
  5. Step 5: Solve for x
    x = 338,274,111.10/27,824.77
  6. Step 6: Final answer
    x = 12,157.30

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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.