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Finding the Fourth Proportional to 19,736, 29,604 and 5,144

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Solution

The fourth proportional to 19,736, 29,604 and 5,144 is: 7,716

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,736 : 29,604 = 5,144 : x
  2. Step 2: Convert to fraction form
    19,736/29,604 = 5,144/x
  3. Step 3: Cross multiply
    19,736x = 29,604 × 5,144
  4. Step 4: Simplify right side
    19,736x = 152,282,976
  5. Step 5: Solve for x
    x = 152,282,976/19,736
  6. Step 6: Final answer
    x = 7,716

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Why These Related Problems?

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