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Finding the Fourth Proportional to 13,163.84, 19,732.68 and 5,378.24

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Solution

The fourth proportional to 13,163.84, 19,732.68 and 5,378.24 is: 8,062.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,163.84 : 19,732.68 = 5,378.24 : x
  2. Step 2: Convert to fraction form
    13,163.84/19,732.68 = 5,378.24/x
  3. Step 3: Cross multiply
    13,163.84x = 19,732.68 × 5,378.24
  4. Step 4: Simplify right side
    13,163.84x = 106,127,088.88
  5. Step 5: Solve for x
    x = 106,127,088.88/13,163.84
  6. Step 6: Final answer
    x = 8,062.02

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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.