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Finding the Fourth Proportional to 22,348.91, 30,840.82 and 12,277.24

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Solution

The fourth proportional to 22,348.91, 30,840.82 and 12,277.24 is: 16,942.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,348.91 : 30,840.82 = 12,277.24 : x
  2. Step 2: Convert to fraction form
    22,348.91/30,840.82 = 12,277.24/x
  3. Step 3: Cross multiply
    22,348.91x = 30,840.82 × 12,277.24
  4. Step 4: Simplify right side
    22,348.91x = 378,640,041.14
  5. Step 5: Solve for x
    x = 378,640,041.14/22,348.91
  6. Step 6: Final answer
    x = 16,942.21

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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.