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Finding the Fourth Proportional to 17,891.16, 26,781 and 16,013.16

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Solution

The fourth proportional to 17,891.16, 26,781 and 16,013.16 is: 23,969.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,891.16 : 26,781 = 16,013.16 : x
  2. Step 2: Convert to fraction form
    17,891.16/26,781 = 16,013.16/x
  3. Step 3: Cross multiply
    17,891.16x = 26,781 × 16,013.16
  4. Step 4: Simplify right side
    17,891.16x = 428,848,437.96
  5. Step 5: Solve for x
    x = 428,848,437.96/17,891.16
  6. Step 6: Final answer
    x = 23,969.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.