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Finding the Fourth Proportional to 13,834.91, 19,092.71 and 7,867.12

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Solution

The fourth proportional to 13,834.91, 19,092.71 and 7,867.12 is: 10,856.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,834.91 : 19,092.71 = 7,867.12 : x
  2. Step 2: Convert to fraction form
    13,834.91/19,092.71 = 7,867.12/x
  3. Step 3: Cross multiply
    13,834.91x = 19,092.71 × 7,867.12
  4. Step 4: Simplify right side
    13,834.91x = 150,204,640.70
  5. Step 5: Solve for x
    x = 150,204,640.70/13,834.91
  6. Step 6: Final answer
    x = 10,856.93

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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.