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Finding the Fourth Proportional to 21,343.26, 32,018.99 and 8,194.59

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Solution

The fourth proportional to 21,343.26, 32,018.99 and 8,194.59 is: 12,293.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,343.26 : 32,018.99 = 8,194.59 : x
  2. Step 2: Convert to fraction form
    21,343.26/32,018.99 = 8,194.59/x
  3. Step 3: Cross multiply
    21,343.26x = 32,018.99 × 8,194.59
  4. Step 4: Simplify right side
    21,343.26x = 262,382,454.29
  5. Step 5: Solve for x
    x = 262,382,454.29/21,343.26
  6. Step 6: Final answer
    x = 12,293.46

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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.