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Finding the Fourth Proportional to 12,574.14, 18,863.94 and 3,809.73

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Solution

The fourth proportional to 12,574.14, 18,863.94 and 3,809.73 is: 5,715.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,574.14 : 18,863.94 = 3,809.73 : x
  2. Step 2: Convert to fraction form
    12,574.14/18,863.94 = 3,809.73/x
  3. Step 3: Cross multiply
    12,574.14x = 18,863.94 × 3,809.73
  4. Step 4: Simplify right side
    12,574.14x = 71,866,518.14
  5. Step 5: Solve for x
    x = 71,866,518.14/12,574.14
  6. Step 6: Final answer
    x = 5,715.42

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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.