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Finding the Fourth Proportional to 17,854.57, 26,771.82 and 7,321.69

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Solution

The fourth proportional to 17,854.57, 26,771.82 and 7,321.69 is: 10,978.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,854.57 : 26,771.82 = 7,321.69 : x
  2. Step 2: Convert to fraction form
    17,854.57/26,771.82 = 7,321.69/x
  3. Step 3: Cross multiply
    17,854.57x = 26,771.82 × 7,321.69
  4. Step 4: Simplify right side
    17,854.57x = 196,014,930.17
  5. Step 5: Solve for x
    x = 196,014,930.17/17,854.57
  6. Step 6: Final answer
    x = 10,978.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.