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Finding the Fourth Proportional to 13,586.42, 18,752.37 and 8,000.66

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Solution

The fourth proportional to 13,586.42, 18,752.37 and 8,000.66 is: 11,042.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,586.42 : 18,752.37 = 8,000.66 : x
  2. Step 2: Convert to fraction form
    13,586.42/18,752.37 = 8,000.66/x
  3. Step 3: Cross multiply
    13,586.42x = 18,752.37 × 8,000.66
  4. Step 4: Simplify right side
    13,586.42x = 150,031,336.56
  5. Step 5: Solve for x
    x = 150,031,336.56/13,586.42
  6. Step 6: Final answer
    x = 11,042.74

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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.