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Finding the Fourth Proportional to 23,785.72, 35,682.70 and 7,992.29

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Solution

The fourth proportional to 23,785.72, 35,682.70 and 7,992.29 is: 11,989.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,785.72 : 35,682.70 = 7,992.29 : x
  2. Step 2: Convert to fraction form
    23,785.72/35,682.70 = 7,992.29/x
  3. Step 3: Cross multiply
    23,785.72x = 35,682.70 × 7,992.29
  4. Step 4: Simplify right side
    23,785.72x = 285,186,442.34
  5. Step 5: Solve for x
    x = 285,186,442.34/23,785.72
  6. Step 6: Final answer
    x = 11,989.82

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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.