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Finding the Fourth Proportional to 28,424.25, 39,226.68 and 15,849

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Solution

The fourth proportional to 28,424.25, 39,226.68 and 15,849 is: 21,872.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,424.25 : 39,226.68 = 15,849 : x
  2. Step 2: Convert to fraction form
    28,424.25/39,226.68 = 15,849/x
  3. Step 3: Cross multiply
    28,424.25x = 39,226.68 × 15,849
  4. Step 4: Simplify right side
    28,424.25x = 621,703,651.32
  5. Step 5: Solve for x
    x = 621,703,651.32/28,424.25
  6. Step 6: Final answer
    x = 21,872.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.