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Finding the Fourth Proportional to 13,879.92, 20,830.68 and 5,117.34

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Solution

The fourth proportional to 13,879.92, 20,830.68 and 5,117.34 is: 7,679.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,879.92 : 20,830.68 = 5,117.34 : x
  2. Step 2: Convert to fraction form
    13,879.92/20,830.68 = 5,117.34/x
  3. Step 3: Cross multiply
    13,879.92x = 20,830.68 × 5,117.34
  4. Step 4: Simplify right side
    13,879.92x = 106,597,671.99
  5. Step 5: Solve for x
    x = 106,597,671.99/13,879.92
  6. Step 6: Final answer
    x = 7,679.99

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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.