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Finding the Fourth Proportional to 16,092.68, 22,205.76 and 9,019.22

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Solution

The fourth proportional to 16,092.68, 22,205.76 and 9,019.22 is: 12,445.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,092.68 : 22,205.76 = 9,019.22 : x
  2. Step 2: Convert to fraction form
    16,092.68/22,205.76 = 9,019.22/x
  3. Step 3: Cross multiply
    16,092.68x = 22,205.76 × 9,019.22
  4. Step 4: Simplify right side
    16,092.68x = 200,278,634.71
  5. Step 5: Solve for x
    x = 200,278,634.71/16,092.68
  6. Step 6: Final answer
    x = 12,445.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.