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Finding the Fourth Proportional to 12,382.71, 18,574.00 and 3,022.78

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Solution

The fourth proportional to 12,382.71, 18,574.00 and 3,022.78 is: 4,534.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.71 : 18,574.00 = 3,022.78 : x
  2. Step 2: Convert to fraction form
    12,382.71/18,574.00 = 3,022.78/x
  3. Step 3: Cross multiply
    12,382.71x = 18,574.00 × 3,022.78
  4. Step 4: Simplify right side
    12,382.71x = 56,145,093.31
  5. Step 5: Solve for x
    x = 56,145,093.31/12,382.71
  6. Step 6: Final answer
    x = 4,534.15

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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.