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Finding the Fourth Proportional to 21,161.98, 31,747.16 and 6,370.17

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Solution

The fourth proportional to 21,161.98, 31,747.16 and 6,370.17 is: 9,556.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,161.98 : 31,747.16 = 6,370.17 : x
  2. Step 2: Convert to fraction form
    21,161.98/31,747.16 = 6,370.17/x
  3. Step 3: Cross multiply
    21,161.98x = 31,747.16 × 6,370.17
  4. Step 4: Simplify right side
    21,161.98x = 202,234,806.22
  5. Step 5: Solve for x
    x = 202,234,806.22/21,161.98
  6. Step 6: Final answer
    x = 9,556.52

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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.