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Finding the Fourth Proportional to 22,519.25, 31,076.67 and 12,310.29

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Solution

The fourth proportional to 22,519.25, 31,076.67 and 12,310.29 is: 16,988.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,519.25 : 31,076.67 = 12,310.29 : x
  2. Step 2: Convert to fraction form
    22,519.25/31,076.67 = 12,310.29/x
  3. Step 3: Cross multiply
    22,519.25x = 31,076.67 × 12,310.29
  4. Step 4: Simplify right side
    22,519.25x = 382,562,819.93
  5. Step 5: Solve for x
    x = 382,562,819.93/22,519.25
  6. Step 6: Final answer
    x = 16,988.26

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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.