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Finding the Fourth Proportional to 13,867.87, 19,138.35 and 8,205.94

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Solution

The fourth proportional to 13,867.87, 19,138.35 and 8,205.94 is: 11,324.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,867.87 : 19,138.35 = 8,205.94 : x
  2. Step 2: Convert to fraction form
    13,867.87/19,138.35 = 8,205.94/x
  3. Step 3: Cross multiply
    13,867.87x = 19,138.35 × 8,205.94
  4. Step 4: Simplify right side
    13,867.87x = 157,048,151.80
  5. Step 5: Solve for x
    x = 157,048,151.80/13,867.87
  6. Step 6: Final answer
    x = 11,324.61

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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.