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Finding the Fourth Proportional to 15,695.98, 23,538.97 and 5,163.59

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Solution

The fourth proportional to 15,695.98, 23,538.97 and 5,163.59 is: 7,743.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,695.98 : 23,538.97 = 5,163.59 : x
  2. Step 2: Convert to fraction form
    15,695.98/23,538.97 = 5,163.59/x
  3. Step 3: Cross multiply
    15,695.98x = 23,538.97 × 5,163.59
  4. Step 4: Simplify right side
    15,695.98x = 121,545,590.10
  5. Step 5: Solve for x
    x = 121,545,590.10/15,695.98
  6. Step 6: Final answer
    x = 7,743.74

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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.