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Finding the Fourth Proportional to 23,633.72, 35,456.10 and 8,051.34

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Solution

The fourth proportional to 23,633.72, 35,456.10 and 8,051.34 is: 12,078.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,633.72 : 35,456.10 = 8,051.34 : x
  2. Step 2: Convert to fraction form
    23,633.72/35,456.10 = 8,051.34/x
  3. Step 3: Cross multiply
    23,633.72x = 35,456.10 × 8,051.34
  4. Step 4: Simplify right side
    23,633.72x = 285,469,116.17
  5. Step 5: Solve for x
    x = 285,469,116.17/23,633.72
  6. Step 6: Final answer
    x = 12,078.89

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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.