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Finding the Fourth Proportional to 12,382.88, 18,574.16 and 3,023.04

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Solution

The fourth proportional to 12,382.88, 18,574.16 and 3,023.04 is: 4,534.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.88 : 18,574.16 = 3,023.04 : x
  2. Step 2: Convert to fraction form
    12,382.88/18,574.16 = 3,023.04/x
  3. Step 3: Cross multiply
    12,382.88x = 18,574.16 × 3,023.04
  4. Step 4: Simplify right side
    12,382.88x = 56,150,428.65
  5. Step 5: Solve for x
    x = 56,150,428.65/12,382.88
  6. Step 6: Final answer
    x = 4,534.52

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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.