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Finding the Fourth Proportional to 22,469.91, 31,008.25 and 12,398.43

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Solution

The fourth proportional to 22,469.91, 31,008.25 and 12,398.43 is: 17,109.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,469.91 : 31,008.25 = 12,398.43 : x
  2. Step 2: Convert to fraction form
    22,469.91/31,008.25 = 12,398.43/x
  3. Step 3: Cross multiply
    22,469.91x = 31,008.25 × 12,398.43
  4. Step 4: Simplify right side
    22,469.91x = 384,453,617.05
  5. Step 5: Solve for x
    x = 384,453,617.05/22,469.91
  6. Step 6: Final answer
    x = 17,109.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.