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Finding the Fourth Proportional to 15,695.67, 23,538.50 and 5,163.28

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Solution

The fourth proportional to 15,695.67, 23,538.50 and 5,163.28 is: 7,743.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,695.67 : 23,538.50 = 5,163.28 : x
  2. Step 2: Convert to fraction form
    15,695.67/23,538.50 = 5,163.28/x
  3. Step 3: Cross multiply
    15,695.67x = 23,538.50 × 5,163.28
  4. Step 4: Simplify right side
    15,695.67x = 121,535,781.62
  5. Step 5: Solve for x
    x = 121,535,781.62/15,695.67
  6. Step 6: Final answer
    x = 7,743.27

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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.