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Finding the Fourth Proportional to 22,470.77, 33,706.16 and 7,679.82

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Solution

The fourth proportional to 22,470.77, 33,706.16 and 7,679.82 is: 11,519.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,470.77 : 33,706.16 = 7,679.82 : x
  2. Step 2: Convert to fraction form
    22,470.77/33,706.16 = 7,679.82/x
  3. Step 3: Cross multiply
    22,470.77x = 33,706.16 × 7,679.82
  4. Step 4: Simplify right side
    22,470.77x = 258,857,203.29
  5. Step 5: Solve for x
    x = 258,857,203.29/22,470.77
  6. Step 6: Final answer
    x = 11,519.73

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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.