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Finding the Fourth Proportional to 15,682.86, 23,517.39 and 7,365.24

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Solution

The fourth proportional to 15,682.86, 23,517.39 and 7,365.24 is: 11,044.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,682.86 : 23,517.39 = 7,365.24 : x
  2. Step 2: Convert to fraction form
    15,682.86/23,517.39 = 7,365.24/x
  3. Step 3: Cross multiply
    15,682.86x = 23,517.39 × 7,365.24
  4. Step 4: Simplify right side
    15,682.86x = 173,211,221.52
  5. Step 5: Solve for x
    x = 173,211,221.52/15,682.86
  6. Step 6: Final answer
    x = 11,044.62

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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.