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Finding the Fourth Proportional to 13,612.72, 18,784.92 and 8,022.64

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Solution

The fourth proportional to 13,612.72, 18,784.92 and 8,022.64 is: 11,070.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,612.72 : 18,784.92 = 8,022.64 : x
  2. Step 2: Convert to fraction form
    13,612.72/18,784.92 = 8,022.64/x
  3. Step 3: Cross multiply
    13,612.72x = 18,784.92 × 8,022.64
  4. Step 4: Simplify right side
    13,612.72x = 150,704,650.59
  5. Step 5: Solve for x
    x = 150,704,650.59/13,612.72
  6. Step 6: Final answer
    x = 11,070.87

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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.