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Finding the Fourth Proportional to 13,597.72, 18,767.10 and 8,011.96

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Solution

The fourth proportional to 13,597.72, 18,767.10 and 8,011.96 is: 11,057.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,597.72 : 18,767.10 = 8,011.96 : x
  2. Step 2: Convert to fraction form
    13,597.72/18,767.10 = 8,011.96/x
  3. Step 3: Cross multiply
    13,597.72x = 18,767.10 × 8,011.96
  4. Step 4: Simplify right side
    13,597.72x = 150,361,254.52
  5. Step 5: Solve for x
    x = 150,361,254.52/13,597.72
  6. Step 6: Final answer
    x = 11,057.83

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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.