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Finding the Fourth Proportional to 23,702.80, 32,709.80 and 13,633.24

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Solution

The fourth proportional to 23,702.80, 32,709.80 and 13,633.24 is: 18,813.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,702.80 : 32,709.80 = 13,633.24 : x
  2. Step 2: Convert to fraction form
    23,702.80/32,709.80 = 13,633.24/x
  3. Step 3: Cross multiply
    23,702.80x = 32,709.80 × 13,633.24
  4. Step 4: Simplify right side
    23,702.80x = 445,940,553.75
  5. Step 5: Solve for x
    x = 445,940,553.75/23,702.80
  6. Step 6: Final answer
    x = 18,813.83

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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.