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Finding the Fourth Proportional to 14,682.83, 20,263.05 and 8,309.75

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Solution

The fourth proportional to 14,682.83, 20,263.05 and 8,309.75 is: 11,467.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,682.83 : 20,263.05 = 8,309.75 : x
  2. Step 2: Convert to fraction form
    14,682.83/20,263.05 = 8,309.75/x
  3. Step 3: Cross multiply
    14,682.83x = 20,263.05 × 8,309.75
  4. Step 4: Simplify right side
    14,682.83x = 168,380,778.42
  5. Step 5: Solve for x
    x = 168,380,778.42/14,682.83
  6. Step 6: Final answer
    x = 11,467.87

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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.