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Finding the Fourth Proportional to 16,097.16, 22,214.02 and 9,023.59

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Solution

The fourth proportional to 16,097.16, 22,214.02 and 9,023.59 is: 12,452.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,097.16 : 22,214.02 = 9,023.59 : x
  2. Step 2: Convert to fraction form
    16,097.16/22,214.02 = 9,023.59/x
  3. Step 3: Cross multiply
    16,097.16x = 22,214.02 × 9,023.59
  4. Step 4: Simplify right side
    16,097.16x = 200,450,208.73
  5. Step 5: Solve for x
    x = 200,450,208.73/16,097.16
  6. Step 6: Final answer
    x = 12,452.52

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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.