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Finding the Fourth Proportional to 16,097.08, 22,212.48 and 9,022

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Solution

The fourth proportional to 16,097.08, 22,212.48 and 9,022 is: 12,449.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,097.08 : 22,212.48 = 9,022 : x
  2. Step 2: Convert to fraction form
    16,097.08/22,212.48 = 9,022/x
  3. Step 3: Cross multiply
    16,097.08x = 22,212.48 × 9,022
  4. Step 4: Simplify right side
    16,097.08x = 200,400,994.56
  5. Step 5: Solve for x
    x = 200,400,994.56/16,097.08
  6. Step 6: Final answer
    x = 12,449.52

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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.