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Finding the Fourth Proportional to 22,011.62, 33,021.53 and 7,224.77

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Solution

The fourth proportional to 22,011.62, 33,021.53 and 7,224.77 is: 10,838.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,011.62 : 33,021.53 = 7,224.77 : x
  2. Step 2: Convert to fraction form
    22,011.62/33,021.53 = 7,224.77/x
  3. Step 3: Cross multiply
    22,011.62x = 33,021.53 × 7,224.77
  4. Step 4: Simplify right side
    22,011.62x = 238,572,812.25
  5. Step 5: Solve for x
    x = 238,572,812.25/22,011.62
  6. Step 6: Final answer
    x = 10,838.50

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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.