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Finding the Fourth Proportional to 12,448.29, 18,675.77 and 5,428.87

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Solution

The fourth proportional to 12,448.29, 18,675.77 and 5,428.87 is: 8,144.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,448.29 : 18,675.77 = 5,428.87 : x
  2. Step 2: Convert to fraction form
    12,448.29/18,675.77 = 5,428.87/x
  3. Step 3: Cross multiply
    12,448.29x = 18,675.77 × 5,428.87
  4. Step 4: Simplify right side
    12,448.29x = 101,388,358.70
  5. Step 5: Solve for x
    x = 101,388,358.70/12,448.29
  6. Step 6: Final answer
    x = 8,144.76

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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.