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Finding the Fourth Proportional to 23,198.96, 34,798.41 and 8,407.85

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Solution

The fourth proportional to 23,198.96, 34,798.41 and 8,407.85 is: 12,611.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,198.96 : 34,798.41 = 8,407.85 : x
  2. Step 2: Convert to fraction form
    23,198.96/34,798.41 = 8,407.85/x
  3. Step 3: Cross multiply
    23,198.96x = 34,798.41 × 8,407.85
  4. Step 4: Simplify right side
    23,198.96x = 292,579,637.53
  5. Step 5: Solve for x
    x = 292,579,637.53/23,198.96
  6. Step 6: Final answer
    x = 12,611.76

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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.