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Finding the Fourth Proportional to 23,462.60, 35,197.34 and 6,820.47

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Solution

The fourth proportional to 23,462.60, 35,197.34 and 6,820.47 is: 10,231.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,462.60 : 35,197.34 = 6,820.47 : x
  2. Step 2: Convert to fraction form
    23,462.60/35,197.34 = 6,820.47/x
  3. Step 3: Cross multiply
    23,462.60x = 35,197.34 × 6,820.47
  4. Step 4: Simplify right side
    23,462.60x = 240,062,367.45
  5. Step 5: Solve for x
    x = 240,062,367.45/23,462.60
  6. Step 6: Final answer
    x = 10,231.71

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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.