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Finding the Fourth Proportional to 11,561.76, 17,337.78 and 8,422.20

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Solution

The fourth proportional to 11,561.76, 17,337.78 and 8,422.20 is: 12,629.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,561.76 : 17,337.78 = 8,422.20 : x
  2. Step 2: Convert to fraction form
    11,561.76/17,337.78 = 8,422.20/x
  3. Step 3: Cross multiply
    11,561.76x = 17,337.78 × 8,422.20
  4. Step 4: Simplify right side
    11,561.76x = 146,022,250.72
  5. Step 5: Solve for x
    x = 146,022,250.72/11,561.76
  6. Step 6: Final answer
    x = 12,629.76

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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.