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Finding the Fourth Proportional to 14,451.24, 19,940.90 and 8,078.06

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Solution

The fourth proportional to 14,451.24, 19,940.90 and 8,078.06 is: 11,146.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,451.24 : 19,940.90 = 8,078.06 : x
  2. Step 2: Convert to fraction form
    14,451.24/19,940.90 = 8,078.06/x
  3. Step 3: Cross multiply
    14,451.24x = 19,940.90 × 8,078.06
  4. Step 4: Simplify right side
    14,451.24x = 161,083,786.65
  5. Step 5: Solve for x
    x = 161,083,786.65/14,451.24
  6. Step 6: Final answer
    x = 11,146.71

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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.