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Finding the Fourth Proportional to 23,650.58, 35,471.32 and 7,853.15

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Solution

The fourth proportional to 23,650.58, 35,471.32 and 7,853.15 is: 11,778.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,650.58 : 35,471.32 = 7,853.15 : x
  2. Step 2: Convert to fraction form
    23,650.58/35,471.32 = 7,853.15/x
  3. Step 3: Cross multiply
    23,650.58x = 35,471.32 × 7,853.15
  4. Step 4: Simplify right side
    23,650.58x = 278,561,665.70
  5. Step 5: Solve for x
    x = 278,561,665.70/23,650.58
  6. Step 6: Final answer
    x = 11,778.22

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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.