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Finding the Fourth Proportional to 13,944, 20,916 and 5,736

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Solution

The fourth proportional to 13,944, 20,916 and 5,736 is: 8,604

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,944 : 20,916 = 5,736 : x
  2. Step 2: Convert to fraction form
    13,944/20,916 = 5,736/x
  3. Step 3: Cross multiply
    13,944x = 20,916 × 5,736
  4. Step 4: Simplify right side
    13,944x = 119,974,176
  5. Step 5: Solve for x
    x = 119,974,176/13,944
  6. Step 6: Final answer
    x = 8,604

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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.