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Finding the Fourth Proportional to 26,497.67, 39,742.25 and 6,775.18

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Solution

The fourth proportional to 26,497.67, 39,742.25 and 6,775.18 is: 10,161.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,497.67 : 39,742.25 = 6,775.18 : x
  2. Step 2: Convert to fraction form
    26,497.67/39,742.25 = 6,775.18/x
  3. Step 3: Cross multiply
    26,497.67x = 39,742.25 × 6,775.18
  4. Step 4: Simplify right side
    26,497.67x = 269,260,764.12
  5. Step 5: Solve for x
    x = 269,260,764.12/26,497.67
  6. Step 6: Final answer
    x = 10,161.68

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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.