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Finding the Fourth Proportional to 23,857.72, 35,788 and 8,061.36

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Solution

The fourth proportional to 23,857.72, 35,788 and 8,061.36 is: 12,092.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,857.72 : 35,788 = 8,061.36 : x
  2. Step 2: Convert to fraction form
    23,857.72/35,788 = 8,061.36/x
  3. Step 3: Cross multiply
    23,857.72x = 35,788 × 8,061.36
  4. Step 4: Simplify right side
    23,857.72x = 288,499,951.68
  5. Step 5: Solve for x
    x = 288,499,951.68/23,857.72
  6. Step 6: Final answer
    x = 12,092.52

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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.