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Finding the Fourth Proportional to 23,647.82, 35,475.13 and 7,847.48

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Solution

The fourth proportional to 23,647.82, 35,475.13 and 7,847.48 is: 11,772.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,647.82 : 35,475.13 = 7,847.48 : x
  2. Step 2: Convert to fraction form
    23,647.82/35,475.13 = 7,847.48/x
  3. Step 3: Cross multiply
    23,647.82x = 35,475.13 × 7,847.48
  4. Step 4: Simplify right side
    23,647.82x = 278,390,471.67
  5. Step 5: Solve for x
    x = 278,390,471.67/23,647.82
  6. Step 6: Final answer
    x = 11,772.35

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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.