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Finding the Fourth Proportional to 20,896.66, 31,344.51 and 5,314.30

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Solution

The fourth proportional to 20,896.66, 31,344.51 and 5,314.30 is: 7,971.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,896.66 : 31,344.51 = 5,314.30 : x
  2. Step 2: Convert to fraction form
    20,896.66/31,344.51 = 5,314.30/x
  3. Step 3: Cross multiply
    20,896.66x = 31,344.51 × 5,314.30
  4. Step 4: Simplify right side
    20,896.66x = 166,574,129.49
  5. Step 5: Solve for x
    x = 166,574,129.49/20,896.66
  6. Step 6: Final answer
    x = 7,971.33

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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.