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Finding the Fourth Proportional to 16,936.16, 23,371.88 and 9,382.49

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Solution

The fourth proportional to 16,936.16, 23,371.88 and 9,382.49 is: 12,947.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,936.16 : 23,371.88 = 9,382.49 : x
  2. Step 2: Convert to fraction form
    16,936.16/23,371.88 = 9,382.49/x
  3. Step 3: Cross multiply
    16,936.16x = 23,371.88 × 9,382.49
  4. Step 4: Simplify right side
    16,936.16x = 219,286,430.38
  5. Step 5: Solve for x
    x = 219,286,430.38/16,936.16
  6. Step 6: Final answer
    x = 12,947.82

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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.