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Finding the Fourth Proportional to 14,911.92, 22,363.92 and 7,882.44

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Solution

The fourth proportional to 14,911.92, 22,363.92 and 7,882.44 is: 11,821.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,911.92 : 22,363.92 = 7,882.44 : x
  2. Step 2: Convert to fraction form
    14,911.92/22,363.92 = 7,882.44/x
  3. Step 3: Cross multiply
    14,911.92x = 22,363.92 × 7,882.44
  4. Step 4: Simplify right side
    14,911.92x = 176,282,257.56
  5. Step 5: Solve for x
    x = 176,282,257.56/14,911.92
  6. Step 6: Final answer
    x = 11,821.57

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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.