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Finding the Fourth Proportional to 21,349.80, 32,026.92 and 8,213.16

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Solution

The fourth proportional to 21,349.80, 32,026.92 and 8,213.16 is: 12,320.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,349.80 : 32,026.92 = 8,213.16 : x
  2. Step 2: Convert to fraction form
    21,349.80/32,026.92 = 8,213.16/x
  3. Step 3: Cross multiply
    21,349.80x = 32,026.92 × 8,213.16
  4. Step 4: Simplify right side
    21,349.80x = 263,042,218.27
  5. Step 5: Solve for x
    x = 263,042,218.27/21,349.80
  6. Step 6: Final answer
    x = 12,320.59

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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.