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Finding the Fourth Proportional to 15,695.64, 23,540.87 and 5,165.80

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Solution

The fourth proportional to 15,695.64, 23,540.87 and 5,165.80 is: 7,747.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,695.64 : 23,540.87 = 5,165.80 : x
  2. Step 2: Convert to fraction form
    15,695.64/23,540.87 = 5,165.80/x
  3. Step 3: Cross multiply
    15,695.64x = 23,540.87 × 5,165.80
  4. Step 4: Simplify right side
    15,695.64x = 121,607,380.31
  5. Step 5: Solve for x
    x = 121,607,380.31/15,695.64
  6. Step 6: Final answer
    x = 7,747.84

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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.