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Finding the Fourth Proportional to 26,702.16, 36,850.02 and 17,734.20

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Solution

The fourth proportional to 26,702.16, 36,850.02 and 17,734.20 is: 24,473.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,702.16 : 36,850.02 = 17,734.20 : x
  2. Step 2: Convert to fraction form
    26,702.16/36,850.02 = 17,734.20/x
  3. Step 3: Cross multiply
    26,702.16x = 36,850.02 × 17,734.20
  4. Step 4: Simplify right side
    26,702.16x = 653,505,624.68
  5. Step 5: Solve for x
    x = 653,505,624.68/26,702.16
  6. Step 6: Final answer
    x = 24,473.89

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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.