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Finding the Fourth Proportional to 14,436.69, 19,922.94 and 8,149.20

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Solution

The fourth proportional to 14,436.69, 19,922.94 and 8,149.20 is: 11,246.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,436.69 : 19,922.94 = 8,149.20 : x
  2. Step 2: Convert to fraction form
    14,436.69/19,922.94 = 8,149.20/x
  3. Step 3: Cross multiply
    14,436.69x = 19,922.94 × 8,149.20
  4. Step 4: Simplify right side
    14,436.69x = 162,356,022.65
  5. Step 5: Solve for x
    x = 162,356,022.65/14,436.69
  6. Step 6: Final answer
    x = 11,246.07

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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.