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Finding the Fourth Proportional to 12,811, 19,217.76 and 3,577

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Solution

The fourth proportional to 12,811, 19,217.76 and 3,577 is: 5,365.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,811 : 19,217.76 = 3,577 : x
  2. Step 2: Convert to fraction form
    12,811/19,217.76 = 3,577/x
  3. Step 3: Cross multiply
    12,811x = 19,217.76 × 3,577
  4. Step 4: Simplify right side
    12,811x = 68,741,927.52
  5. Step 5: Solve for x
    x = 68,741,927.52/12,811
  6. Step 6: Final answer
    x = 5,365.85

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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.