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Finding the Fourth Proportional to 10,020.84, 15,028.22 and 3,443.24

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Solution

The fourth proportional to 10,020.84, 15,028.22 and 3,443.24 is: 5,163.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,020.84 : 15,028.22 = 3,443.24 : x
  2. Step 2: Convert to fraction form
    10,020.84/15,028.22 = 3,443.24/x
  3. Step 3: Cross multiply
    10,020.84x = 15,028.22 × 3,443.24
  4. Step 4: Simplify right side
    10,020.84x = 51,745,768.23
  5. Step 5: Solve for x
    x = 51,745,768.23/10,020.84
  6. Step 6: Final answer
    x = 5,163.82

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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.