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Finding the Fourth Proportional to 22,514.01, 33,768.82 and 7,724.40

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Solution

The fourth proportional to 22,514.01, 33,768.82 and 7,724.40 is: 11,585.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,514.01 : 33,768.82 = 7,724.40 : x
  2. Step 2: Convert to fraction form
    22,514.01/33,768.82 = 7,724.40/x
  3. Step 3: Cross multiply
    22,514.01x = 33,768.82 × 7,724.40
  4. Step 4: Simplify right side
    22,514.01x = 260,843,873.21
  5. Step 5: Solve for x
    x = 260,843,873.21/22,514.01
  6. Step 6: Final answer
    x = 11,585.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.