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Finding the Fourth Proportional to 20,983.13, 31,481.31 and 9,889.37

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Solution

The fourth proportional to 20,983.13, 31,481.31 and 9,889.37 is: 14,837.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,983.13 : 31,481.31 = 9,889.37 : x
  2. Step 2: Convert to fraction form
    20,983.13/31,481.31 = 9,889.37/x
  3. Step 3: Cross multiply
    20,983.13x = 31,481.31 × 9,889.37
  4. Step 4: Simplify right side
    20,983.13x = 311,330,322.67
  5. Step 5: Solve for x
    x = 311,330,322.67/20,983.13
  6. Step 6: Final answer
    x = 14,837.17

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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.