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Finding the Fourth Proportional to 26,462.44, 39,696 and 9,822.66

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Solution

The fourth proportional to 26,462.44, 39,696 and 9,822.66 is: 14,734.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,462.44 : 39,696 = 9,822.66 : x
  2. Step 2: Convert to fraction form
    26,462.44/39,696 = 9,822.66/x
  3. Step 3: Cross multiply
    26,462.44x = 39,696 × 9,822.66
  4. Step 4: Simplify right side
    26,462.44x = 389,920,311.36
  5. Step 5: Solve for x
    x = 389,920,311.36/26,462.44
  6. Step 6: Final answer
    x = 14,734.86

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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.