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Finding the Fourth Proportional to 26,858.41, 40,284.54 and 7,138.49

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Solution

The fourth proportional to 26,858.41, 40,284.54 and 7,138.49 is: 10,706.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,858.41 : 40,284.54 = 7,138.49 : x
  2. Step 2: Convert to fraction form
    26,858.41/40,284.54 = 7,138.49/x
  3. Step 3: Cross multiply
    26,858.41x = 40,284.54 × 7,138.49
  4. Step 4: Simplify right side
    26,858.41x = 287,570,584.52
  5. Step 5: Solve for x
    x = 287,570,584.52/26,858.41
  6. Step 6: Final answer
    x = 10,706.91

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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.