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Finding the Fourth Proportional to 15,835.89, 23,760.72 and 9,926.31

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Solution

The fourth proportional to 15,835.89, 23,760.72 and 9,926.31 is: 14,893.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,835.89 : 23,760.72 = 9,926.31 : x
  2. Step 2: Convert to fraction form
    15,835.89/23,760.72 = 9,926.31/x
  3. Step 3: Cross multiply
    15,835.89x = 23,760.72 × 9,926.31
  4. Step 4: Simplify right side
    15,835.89x = 235,856,272.54
  5. Step 5: Solve for x
    x = 235,856,272.54/15,835.89
  6. Step 6: Final answer
    x = 14,893.78

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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.