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Finding the Fourth Proportional to 22,357.85, 30,851.82 and 12,286.17

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Solution

The fourth proportional to 22,357.85, 30,851.82 and 12,286.17 is: 16,953.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,357.85 : 30,851.82 = 12,286.17 : x
  2. Step 2: Convert to fraction form
    22,357.85/30,851.82 = 12,286.17/x
  3. Step 3: Cross multiply
    22,357.85x = 30,851.82 × 12,286.17
  4. Step 4: Simplify right side
    22,357.85x = 379,050,705.33
  5. Step 5: Solve for x
    x = 379,050,705.33/22,357.85
  6. Step 6: Final answer
    x = 16,953.81

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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.