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Finding the Fourth Proportional to 20,690.25, 31,040.24 and 6,839.25

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Solution

The fourth proportional to 20,690.25, 31,040.24 and 6,839.25 is: 10,260.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,690.25 : 31,040.24 = 6,839.25 : x
  2. Step 2: Convert to fraction form
    20,690.25/31,040.24 = 6,839.25/x
  3. Step 3: Cross multiply
    20,690.25x = 31,040.24 × 6,839.25
  4. Step 4: Simplify right side
    20,690.25x = 212,291,927.22
  5. Step 5: Solve for x
    x = 212,291,927.22/20,690.25
  6. Step 6: Final answer
    x = 10,260.48

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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.