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Finding the Fourth Proportional to 15,650.85, 23,464.09 and 7,747.92

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Solution

The fourth proportional to 15,650.85, 23,464.09 and 7,747.92 is: 11,615.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,650.85 : 23,464.09 = 7,747.92 : x
  2. Step 2: Convert to fraction form
    15,650.85/23,464.09 = 7,747.92/x
  3. Step 3: Cross multiply
    15,650.85x = 23,464.09 × 7,747.92
  4. Step 4: Simplify right side
    15,650.85x = 181,797,892.19
  5. Step 5: Solve for x
    x = 181,797,892.19/15,650.85
  6. Step 6: Final answer
    x = 11,615.85

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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.