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Finding the Fourth Proportional to 22,514, 33,770.96 and 7,727.20

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Solution

The fourth proportional to 22,514, 33,770.96 and 7,727.20 is: 11,590.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,514 : 33,770.96 = 7,727.20 : x
  2. Step 2: Convert to fraction form
    22,514/33,770.96 = 7,727.20/x
  3. Step 3: Cross multiply
    22,514x = 33,770.96 × 7,727.20
  4. Step 4: Simplify right side
    22,514x = 260,954,962.11
  5. Step 5: Solve for x
    x = 260,954,962.11/22,514
  6. Step 6: Final answer
    x = 11,590.79

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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.