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Finding the Fourth Proportional to 23,682.57, 32,680.83 and 13,603.92

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Solution

The fourth proportional to 23,682.57, 32,680.83 and 13,603.92 is: 18,772.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,682.57 : 32,680.83 = 13,603.92 : x
  2. Step 2: Convert to fraction form
    23,682.57/32,680.83 = 13,603.92/x
  3. Step 3: Cross multiply
    23,682.57x = 32,680.83 × 13,603.92
  4. Step 4: Simplify right side
    23,682.57x = 444,587,396.85
  5. Step 5: Solve for x
    x = 444,587,396.85/23,682.57
  6. Step 6: Final answer
    x = 18,772.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.