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Finding the Fourth Proportional to 22,213.94, 33,282.03 and 12,960.50

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Solution

The fourth proportional to 22,213.94, 33,282.03 and 12,960.50 is: 19,418.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,213.94 : 33,282.03 = 12,960.50 : x
  2. Step 2: Convert to fraction form
    22,213.94/33,282.03 = 12,960.50/x
  3. Step 3: Cross multiply
    22,213.94x = 33,282.03 × 12,960.50
  4. Step 4: Simplify right side
    22,213.94x = 431,351,749.82
  5. Step 5: Solve for x
    x = 431,351,749.82/22,213.94
  6. Step 6: Final answer
    x = 19,418.07

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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.