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Finding the Fourth Proportional to 13,105.90, 19,660.78 and 4,338.86

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Solution

The fourth proportional to 13,105.90, 19,660.78 and 4,338.86 is: 6,508.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,105.90 : 19,660.78 = 4,338.86 : x
  2. Step 2: Convert to fraction form
    13,105.90/19,660.78 = 4,338.86/x
  3. Step 3: Cross multiply
    13,105.90x = 19,660.78 × 4,338.86
  4. Step 4: Simplify right side
    13,105.90x = 85,305,371.91
  5. Step 5: Solve for x
    x = 85,305,371.91/13,105.90
  6. Step 6: Final answer
    x = 6,508.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.