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Finding the Fourth Proportional to 14,286.57, 19,713.77 and 8,236.74

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Solution

The fourth proportional to 14,286.57, 19,713.77 and 8,236.74 is: 11,365.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,286.57 : 19,713.77 = 8,236.74 : x
  2. Step 2: Convert to fraction form
    14,286.57/19,713.77 = 8,236.74/x
  3. Step 3: Cross multiply
    14,286.57x = 19,713.77 × 8,236.74
  4. Step 4: Simplify right side
    14,286.57x = 162,377,150.65
  5. Step 5: Solve for x
    x = 162,377,150.65/14,286.57
  6. Step 6: Final answer
    x = 11,365.72

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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.