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Finding the Fourth Proportional to 26,858.62, 40,284.72 and 7,138.69

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Solution

The fourth proportional to 26,858.62, 40,284.72 and 7,138.69 is: 10,707.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,858.62 : 40,284.72 = 7,138.69 : x
  2. Step 2: Convert to fraction form
    26,858.62/40,284.72 = 7,138.69/x
  3. Step 3: Cross multiply
    26,858.62x = 40,284.72 × 7,138.69
  4. Step 4: Simplify right side
    26,858.62x = 287,580,127.82
  5. Step 5: Solve for x
    x = 287,580,127.82/26,858.62
  6. Step 6: Final answer
    x = 10,707.18

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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.