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Finding the Fourth Proportional to 17,097.39, 23,594.22 and 10,022.45

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Solution

The fourth proportional to 17,097.39, 23,594.22 and 10,022.45 is: 13,830.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,097.39 : 23,594.22 = 10,022.45 : x
  2. Step 2: Convert to fraction form
    17,097.39/23,594.22 = 10,022.45/x
  3. Step 3: Cross multiply
    17,097.39x = 23,594.22 × 10,022.45
  4. Step 4: Simplify right side
    17,097.39x = 236,471,772.27
  5. Step 5: Solve for x
    x = 236,471,772.27/17,097.39
  6. Step 6: Final answer
    x = 13,830.87

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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.