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Finding the Fourth Proportional to 15,682.69, 23,523.85 and 7,889.77

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Solution

The fourth proportional to 15,682.69, 23,523.85 and 7,889.77 is: 11,834.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,682.69 : 23,523.85 = 7,889.77 : x
  2. Step 2: Convert to fraction form
    15,682.69/23,523.85 = 7,889.77/x
  3. Step 3: Cross multiply
    15,682.69x = 23,523.85 × 7,889.77
  4. Step 4: Simplify right side
    15,682.69x = 185,597,766.01
  5. Step 5: Solve for x
    x = 185,597,766.01/15,682.69
  6. Step 6: Final answer
    x = 11,834.56

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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.