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Finding the Fourth Proportional to 23,761.98, 32,793.06 and 13,690.24

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Solution

The fourth proportional to 23,761.98, 32,793.06 and 13,690.24 is: 18,893.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,761.98 : 32,793.06 = 13,690.24 : x
  2. Step 2: Convert to fraction form
    23,761.98/32,793.06 = 13,690.24/x
  3. Step 3: Cross multiply
    23,761.98x = 32,793.06 × 13,690.24
  4. Step 4: Simplify right side
    23,761.98x = 448,944,861.73
  5. Step 5: Solve for x
    x = 448,944,861.73/23,761.98
  6. Step 6: Final answer
    x = 18,893.41

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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.