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Finding the Fourth Proportional to 16,097.13, 22,214.01 and 9,023.55

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Solution

The fourth proportional to 16,097.13, 22,214.01 and 9,023.55 is: 12,452.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,097.13 : 22,214.01 = 9,023.55 : x
  2. Step 2: Convert to fraction form
    16,097.13/22,214.01 = 9,023.55/x
  3. Step 3: Cross multiply
    16,097.13x = 22,214.01 × 9,023.55
  4. Step 4: Simplify right side
    16,097.13x = 200,449,229.94
  5. Step 5: Solve for x
    x = 200,449,229.94/16,097.13
  6. Step 6: Final answer
    x = 12,452.48

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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.