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Finding the Fourth Proportional to 17,634.23, 26,458.23 and 7,766.57

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Solution

The fourth proportional to 17,634.23, 26,458.23 and 7,766.57 is: 11,652.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,634.23 : 26,458.23 = 7,766.57 : x
  2. Step 2: Convert to fraction form
    17,634.23/26,458.23 = 7,766.57/x
  3. Step 3: Cross multiply
    17,634.23x = 26,458.23 × 7,766.57
  4. Step 4: Simplify right side
    17,634.23x = 205,489,695.37
  5. Step 5: Solve for x
    x = 205,489,695.37/17,634.23
  6. Step 6: Final answer
    x = 11,652.89

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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.