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Finding the Fourth Proportional to 16,097.40, 22,213.20 and 9,022.47

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Solution

The fourth proportional to 16,097.40, 22,213.20 and 9,022.47 is: 12,450.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,097.40 : 22,213.20 = 9,022.47 : x
  2. Step 2: Convert to fraction form
    16,097.40/22,213.20 = 9,022.47/x
  3. Step 3: Cross multiply
    16,097.40x = 22,213.20 × 9,022.47
  4. Step 4: Simplify right side
    16,097.40x = 200,417,930.60
  5. Step 5: Solve for x
    x = 200,417,930.60/16,097.40
  6. Step 6: Final answer
    x = 12,450.33

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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.