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Finding the Fourth Proportional to 13,510.74, 20,267.10 and 3,649.80

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Solution

The fourth proportional to 13,510.74, 20,267.10 and 3,649.80 is: 5,474.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,510.74 : 20,267.10 = 3,649.80 : x
  2. Step 2: Convert to fraction form
    13,510.74/20,267.10 = 3,649.80/x
  3. Step 3: Cross multiply
    13,510.74x = 20,267.10 × 3,649.80
  4. Step 4: Simplify right side
    13,510.74x = 73,970,861.58
  5. Step 5: Solve for x
    x = 73,970,861.58/13,510.74
  6. Step 6: Final answer
    x = 5,474.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.