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Finding the Fourth Proportional to 22,016.49, 30,382.50 and 11,944.95

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Solution

The fourth proportional to 22,016.49, 30,382.50 and 11,944.95 is: 16,483.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,016.49 : 30,382.50 = 11,944.95 : x
  2. Step 2: Convert to fraction form
    22,016.49/30,382.50 = 11,944.95/x
  3. Step 3: Cross multiply
    22,016.49x = 30,382.50 × 11,944.95
  4. Step 4: Simplify right side
    22,016.49x = 362,917,443.38
  5. Step 5: Solve for x
    x = 362,917,443.38/22,016.49
  6. Step 6: Final answer
    x = 16,483.89

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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.