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Finding the Fourth Proportional to 26,137.61, 39,201.78 and 11,902.82

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Solution

The fourth proportional to 26,137.61, 39,201.78 and 11,902.82 is: 17,852.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,137.61 : 39,201.78 = 11,902.82 : x
  2. Step 2: Convert to fraction form
    26,137.61/39,201.78 = 11,902.82/x
  3. Step 3: Cross multiply
    26,137.61x = 39,201.78 × 11,902.82
  4. Step 4: Simplify right side
    26,137.61x = 466,611,829.02
  5. Step 5: Solve for x
    x = 466,611,829.02/26,137.61
  6. Step 6: Final answer
    x = 17,852.13

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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.