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Finding the Fourth Proportional to 16,097.26, 22,214.13 and 9,023.53

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Solution

The fourth proportional to 16,097.26, 22,214.13 and 9,023.53 is: 12,452.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,097.26 : 22,214.13 = 9,023.53 : x
  2. Step 2: Convert to fraction form
    16,097.26/22,214.13 = 9,023.53/x
  3. Step 3: Cross multiply
    16,097.26x = 22,214.13 × 9,023.53
  4. Step 4: Simplify right side
    16,097.26x = 200,449,767.83
  5. Step 5: Solve for x
    x = 200,449,767.83/16,097.26
  6. Step 6: Final answer
    x = 12,452.42

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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.