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Finding the Fourth Proportional to 22,648.91, 33,938.73 and 9,494.11

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Solution

The fourth proportional to 22,648.91, 33,938.73 and 9,494.11 is: 14,226.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,648.91 : 33,938.73 = 9,494.11 : x
  2. Step 2: Convert to fraction form
    22,648.91/33,938.73 = 9,494.11/x
  3. Step 3: Cross multiply
    22,648.91x = 33,938.73 × 9,494.11
  4. Step 4: Simplify right side
    22,648.91x = 322,217,951.03
  5. Step 5: Solve for x
    x = 322,217,951.03/22,648.91
  6. Step 6: Final answer
    x = 14,226.64

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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.