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Finding the Fourth Proportional to 23,406.46, 32,299.23 and 12,793.84

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Solution

The fourth proportional to 23,406.46, 32,299.23 and 12,793.84 is: 17,654.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,406.46 : 32,299.23 = 12,793.84 : x
  2. Step 2: Convert to fraction form
    23,406.46/32,299.23 = 12,793.84/x
  3. Step 3: Cross multiply
    23,406.46x = 32,299.23 × 12,793.84
  4. Step 4: Simplify right side
    23,406.46x = 413,231,180.74
  5. Step 5: Solve for x
    x = 413,231,180.74/23,406.46
  6. Step 6: Final answer
    x = 17,654.58

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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.