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Finding the Fourth Proportional to 22,642.92, 31,250.34 and 13,211.82

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Solution

The fourth proportional to 22,642.92, 31,250.34 and 13,211.82 is: 18,234.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,642.92 : 31,250.34 = 13,211.82 : x
  2. Step 2: Convert to fraction form
    22,642.92/31,250.34 = 13,211.82/x
  3. Step 3: Cross multiply
    22,642.92x = 31,250.34 × 13,211.82
  4. Step 4: Simplify right side
    22,642.92x = 412,873,867.02
  5. Step 5: Solve for x
    x = 412,873,867.02/22,642.92
  6. Step 6: Final answer
    x = 18,234.13

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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.