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Finding the Fourth Proportional to 13,876.19, 20,813.67 and 4,015.25

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Solution

The fourth proportional to 13,876.19, 20,813.67 and 4,015.25 is: 6,022.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,876.19 : 20,813.67 = 4,015.25 : x
  2. Step 2: Convert to fraction form
    13,876.19/20,813.67 = 4,015.25/x
  3. Step 3: Cross multiply
    13,876.19x = 20,813.67 × 4,015.25
  4. Step 4: Simplify right side
    13,876.19x = 83,571,964.32
  5. Step 5: Solve for x
    x = 83,571,964.32/13,876.19
  6. Step 6: Final answer
    x = 6,022.69

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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.