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Finding the Fourth Proportional to 22,469.46, 31,007.34 and 12,398.85

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Solution

The fourth proportional to 22,469.46, 31,007.34 and 12,398.85 is: 17,110.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,469.46 : 31,007.34 = 12,398.85 : x
  2. Step 2: Convert to fraction form
    22,469.46/31,007.34 = 12,398.85/x
  3. Step 3: Cross multiply
    22,469.46x = 31,007.34 × 12,398.85
  4. Step 4: Simplify right side
    22,469.46x = 384,455,357.56
  5. Step 5: Solve for x
    x = 384,455,357.56/22,469.46
  6. Step 6: Final answer
    x = 17,110.13

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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.