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Finding the Fourth Proportional to 27,943.23, 41,920.02 and 9,224.57

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Solution

The fourth proportional to 27,943.23, 41,920.02 and 9,224.57 is: 13,838.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,943.23 : 41,920.02 = 9,224.57 : x
  2. Step 2: Convert to fraction form
    27,943.23/41,920.02 = 9,224.57/x
  3. Step 3: Cross multiply
    27,943.23x = 41,920.02 × 9,224.57
  4. Step 4: Simplify right side
    27,943.23x = 386,694,158.89
  5. Step 5: Solve for x
    x = 386,694,158.89/27,943.23
  6. Step 6: Final answer
    x = 13,838.56

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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.