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Finding the Fourth Proportional to 21,086.92, 31,608.34 and 9,980.38

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Solution

The fourth proportional to 21,086.92, 31,608.34 and 9,980.38 is: 14,960.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,086.92 : 31,608.34 = 9,980.38 : x
  2. Step 2: Convert to fraction form
    21,086.92/31,608.34 = 9,980.38/x
  3. Step 3: Cross multiply
    21,086.92x = 31,608.34 × 9,980.38
  4. Step 4: Simplify right side
    21,086.92x = 315,463,244.37
  5. Step 5: Solve for x
    x = 315,463,244.37/21,086.92
  6. Step 6: Final answer
    x = 14,960.14

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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.