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Finding the Fourth Proportional to 22,658.38, 33,976.58 and 9,507.22

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Solution

The fourth proportional to 22,658.38, 33,976.58 and 9,507.22 is: 14,256.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,658.38 : 33,976.58 = 9,507.22 : x
  2. Step 2: Convert to fraction form
    22,658.38/33,976.58 = 9,507.22/x
  3. Step 3: Cross multiply
    22,658.38x = 33,976.58 × 9,507.22
  4. Step 4: Simplify right side
    22,658.38x = 323,022,820.91
  5. Step 5: Solve for x
    x = 323,022,820.91/22,658.38
  6. Step 6: Final answer
    x = 14,256.22

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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.