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Finding the Fourth Proportional to 13,223.82, 19,832.64 and 3,861.88

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Solution

The fourth proportional to 13,223.82, 19,832.64 and 3,861.88 is: 5,791.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,223.82 : 19,832.64 = 3,861.88 : x
  2. Step 2: Convert to fraction form
    13,223.82/19,832.64 = 3,861.88/x
  3. Step 3: Cross multiply
    13,223.82x = 19,832.64 × 3,861.88
  4. Step 4: Simplify right side
    13,223.82x = 76,591,275.76
  5. Step 5: Solve for x
    x = 76,591,275.76/13,223.82
  6. Step 6: Final answer
    x = 5,791.92

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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.