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Finding the Fourth Proportional to 23,705.73, 32,714.90 and 13,634.17

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Solution

The fourth proportional to 23,705.73, 32,714.90 and 13,634.17 is: 18,815.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,705.73 : 32,714.90 = 13,634.17 : x
  2. Step 2: Convert to fraction form
    23,705.73/32,714.90 = 13,634.17/x
  3. Step 3: Cross multiply
    23,705.73x = 32,714.90 × 13,634.17
  4. Step 4: Simplify right side
    23,705.73x = 446,040,439.96
  5. Step 5: Solve for x
    x = 446,040,439.96/23,705.73
  6. Step 6: Final answer
    x = 18,815.73

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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.