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Finding the Fourth Proportional to 13,874.92, 19,149.26 and 7,826.40

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Solution

The fourth proportional to 13,874.92, 19,149.26 and 7,826.40 is: 10,801.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.92 : 19,149.26 = 7,826.40 : x
  2. Step 2: Convert to fraction form
    13,874.92/19,149.26 = 7,826.40/x
  3. Step 3: Cross multiply
    13,874.92x = 19,149.26 × 7,826.40
  4. Step 4: Simplify right side
    13,874.92x = 149,869,816.79
  5. Step 5: Solve for x
    x = 149,869,816.79/13,874.92
  6. Step 6: Final answer
    x = 10,801.49

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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.