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Finding the Fourth Proportional to 13,509.75, 20,263.04 and 3,649.80

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Solution

The fourth proportional to 13,509.75, 20,263.04 and 3,649.80 is: 5,474.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.75 : 20,263.04 = 3,649.80 : x
  2. Step 2: Convert to fraction form
    13,509.75/20,263.04 = 3,649.80/x
  3. Step 3: Cross multiply
    13,509.75x = 20,263.04 × 3,649.80
  4. Step 4: Simplify right side
    13,509.75x = 73,956,025.14
  5. Step 5: Solve for x
    x = 73,956,025.14/13,509.75
  6. Step 6: Final answer
    x = 5,474.27

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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.