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Finding the Fourth Proportional to 22,462.32, 33,680.22 and 9,976.38

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Solution

The fourth proportional to 22,462.32, 33,680.22 and 9,976.38 is: 14,958.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,462.32 : 33,680.22 = 9,976.38 : x
  2. Step 2: Convert to fraction form
    22,462.32/33,680.22 = 9,976.38/x
  3. Step 3: Cross multiply
    22,462.32x = 33,680.22 × 9,976.38
  4. Step 4: Simplify right side
    22,462.32x = 336,006,673.20
  5. Step 5: Solve for x
    x = 336,006,673.20/22,462.32
  6. Step 6: Final answer
    x = 14,958.68

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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.