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Finding the Fourth Proportional to 23,731.62, 35,587.09 and 12,635.83

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Solution

The fourth proportional to 23,731.62, 35,587.09 and 12,635.83 is: 18,948.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,731.62 : 35,587.09 = 12,635.83 : x
  2. Step 2: Convert to fraction form
    23,731.62/35,587.09 = 12,635.83/x
  3. Step 3: Cross multiply
    23,731.62x = 35,587.09 × 12,635.83
  4. Step 4: Simplify right side
    23,731.62x = 449,672,419.43
  5. Step 5: Solve for x
    x = 449,672,419.43/23,731.62
  6. Step 6: Final answer
    x = 18,948.24

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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.