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Finding the Fourth Proportional to 15,765.21, 23,650.09 and 5,231.66

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Solution

The fourth proportional to 15,765.21, 23,650.09 and 5,231.66 is: 7,848.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,765.21 : 23,650.09 = 5,231.66 : x
  2. Step 2: Convert to fraction form
    15,765.21/23,650.09 = 5,231.66/x
  3. Step 3: Cross multiply
    15,765.21x = 23,650.09 × 5,231.66
  4. Step 4: Simplify right side
    15,765.21x = 123,729,098.52
  5. Step 5: Solve for x
    x = 123,729,098.52/15,765.21
  6. Step 6: Final answer
    x = 7,848.24

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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.