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Finding the Fourth Proportional to 21,313.80, 31,969.62 and 8,165.16

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Solution

The fourth proportional to 21,313.80, 31,969.62 and 8,165.16 is: 12,247.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,313.80 : 31,969.62 = 8,165.16 : x
  2. Step 2: Convert to fraction form
    21,313.80/31,969.62 = 8,165.16/x
  3. Step 3: Cross multiply
    21,313.80x = 31,969.62 × 8,165.16
  4. Step 4: Simplify right side
    21,313.80x = 261,037,062.44
  5. Step 5: Solve for x
    x = 261,037,062.44/21,313.80
  6. Step 6: Final answer
    x = 12,247.33

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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.