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Finding the Fourth Proportional to 22,616.69, 33,929.62 and 7,825.28

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Solution

The fourth proportional to 22,616.69, 33,929.62 and 7,825.28 is: 11,739.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,616.69 : 33,929.62 = 7,825.28 : x
  2. Step 2: Convert to fraction form
    22,616.69/33,929.62 = 7,825.28/x
  3. Step 3: Cross multiply
    22,616.69x = 33,929.62 × 7,825.28
  4. Step 4: Simplify right side
    22,616.69x = 265,508,587.58
  5. Step 5: Solve for x
    x = 265,508,587.58/22,616.69
  6. Step 6: Final answer
    x = 11,739.50

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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.