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Finding the Fourth Proportional to 13,227.84, 19,826.64 and 5,427

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Solution

The fourth proportional to 13,227.84, 19,826.64 and 5,427 is: 8,134.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,227.84 : 19,826.64 = 5,427 : x
  2. Step 2: Convert to fraction form
    13,227.84/19,826.64 = 5,427/x
  3. Step 3: Cross multiply
    13,227.84x = 19,826.64 × 5,427
  4. Step 4: Simplify right side
    13,227.84x = 107,599,175.28
  5. Step 5: Solve for x
    x = 107,599,175.28/13,227.84
  6. Step 6: Final answer
    x = 8,134.30

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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.