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Finding the Fourth Proportional to 22,180.38, 30,607.86 and 12,619.38

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Solution

The fourth proportional to 22,180.38, 30,607.86 and 12,619.38 is: 17,414.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,180.38 : 30,607.86 = 12,619.38 : x
  2. Step 2: Convert to fraction form
    22,180.38/30,607.86 = 12,619.38/x
  3. Step 3: Cross multiply
    22,180.38x = 30,607.86 × 12,619.38
  4. Step 4: Simplify right side
    22,180.38x = 386,252,216.33
  5. Step 5: Solve for x
    x = 386,252,216.33/22,180.38
  6. Step 6: Final answer
    x = 17,414.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.