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Finding the Fourth Proportional to 22,496.37, 31,044.43 and 12,286.98

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Solution

The fourth proportional to 22,496.37, 31,044.43 and 12,286.98 is: 16,955.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,496.37 : 31,044.43 = 12,286.98 : x
  2. Step 2: Convert to fraction form
    22,496.37/31,044.43 = 12,286.98/x
  3. Step 3: Cross multiply
    22,496.37x = 31,044.43 × 12,286.98
  4. Step 4: Simplify right side
    22,496.37x = 381,442,290.52
  5. Step 5: Solve for x
    x = 381,442,290.52/22,496.37
  6. Step 6: Final answer
    x = 16,955.73

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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.