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Finding the Fourth Proportional to 12,382.65, 18,574.01 and 3,022.69

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Solution

The fourth proportional to 12,382.65, 18,574.01 and 3,022.69 is: 4,534.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.65 : 18,574.01 = 3,022.69 : x
  2. Step 2: Convert to fraction form
    12,382.65/18,574.01 = 3,022.69/x
  3. Step 3: Cross multiply
    12,382.65x = 18,574.01 × 3,022.69
  4. Step 4: Simplify right side
    12,382.65x = 56,143,474.29
  5. Step 5: Solve for x
    x = 56,143,474.29/12,382.65
  6. Step 6: Final answer
    x = 4,534.04

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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.