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Finding the Fourth Proportional to 22,300.33, 30,775.39 and 12,229.16

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Solution

The fourth proportional to 22,300.33, 30,775.39 and 12,229.16 is: 16,876.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,300.33 : 30,775.39 = 12,229.16 : x
  2. Step 2: Convert to fraction form
    22,300.33/30,775.39 = 12,229.16/x
  3. Step 3: Cross multiply
    22,300.33x = 30,775.39 × 12,229.16
  4. Step 4: Simplify right side
    22,300.33x = 376,357,168.37
  5. Step 5: Solve for x
    x = 376,357,168.37/22,300.33
  6. Step 6: Final answer
    x = 16,876.75

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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.