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Finding the Fourth Proportional to 26,647.26, 39,971.01 and 6,924.42

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Solution

The fourth proportional to 26,647.26, 39,971.01 and 6,924.42 is: 10,386.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,647.26 : 39,971.01 = 6,924.42 : x
  2. Step 2: Convert to fraction form
    26,647.26/39,971.01 = 6,924.42/x
  3. Step 3: Cross multiply
    26,647.26x = 39,971.01 × 6,924.42
  4. Step 4: Simplify right side
    26,647.26x = 276,776,061.06
  5. Step 5: Solve for x
    x = 276,776,061.06/26,647.26
  6. Step 6: Final answer
    x = 10,386.66

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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.