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Finding the Fourth Proportional to 26,489.50, 39,734.26 and 9,853.72

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Solution

The fourth proportional to 26,489.50, 39,734.26 and 9,853.72 is: 14,780.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,489.50 : 39,734.26 = 9,853.72 : x
  2. Step 2: Convert to fraction form
    26,489.50/39,734.26 = 9,853.72/x
  3. Step 3: Cross multiply
    26,489.50x = 39,734.26 × 9,853.72
  4. Step 4: Simplify right side
    26,489.50x = 391,530,272.45
  5. Step 5: Solve for x
    x = 391,530,272.45/26,489.50
  6. Step 6: Final answer
    x = 14,780.58

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