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Finding the Fourth Proportional to 14,786.01, 20,405.12 and 8,411.85

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Solution

The fourth proportional to 14,786.01, 20,405.12 and 8,411.85 is: 11,608.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,786.01 : 20,405.12 = 8,411.85 : x
  2. Step 2: Convert to fraction form
    14,786.01/20,405.12 = 8,411.85/x
  3. Step 3: Cross multiply
    14,786.01x = 20,405.12 × 8,411.85
  4. Step 4: Simplify right side
    14,786.01x = 171,644,766.61
  5. Step 5: Solve for x
    x = 171,644,766.61/14,786.01
  6. Step 6: Final answer
    x = 11,608.59

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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.