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Finding the Fourth Proportional to 13,866.24, 20,794.80 and 6,936

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Solution

The fourth proportional to 13,866.24, 20,794.80 and 6,936 is: 10,401.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,866.24 : 20,794.80 = 6,936 : x
  2. Step 2: Convert to fraction form
    13,866.24/20,794.80 = 6,936/x
  3. Step 3: Cross multiply
    13,866.24x = 20,794.80 × 6,936
  4. Step 4: Simplify right side
    13,866.24x = 144,232,732.80
  5. Step 5: Solve for x
    x = 144,232,732.80/13,866.24
  6. Step 6: Final answer
    x = 10,401.72

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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.