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Finding the Fourth Proportional to 13,163, 19,747.62 and 3,929.24

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Solution

The fourth proportional to 13,163, 19,747.62 and 3,929.24 is: 5,894.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,163 : 19,747.62 = 3,929.24 : x
  2. Step 2: Convert to fraction form
    13,163/19,747.62 = 3,929.24/x
  3. Step 3: Cross multiply
    13,163x = 19,747.62 × 3,929.24
  4. Step 4: Simplify right side
    13,163x = 77,593,138.41
  5. Step 5: Solve for x
    x = 77,593,138.41/13,163
  6. Step 6: Final answer
    x = 5,894.79

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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.