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Finding the Fourth Proportional to 13,649.36, 20,474.06 and 4,290.22

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Solution

The fourth proportional to 13,649.36, 20,474.06 and 4,290.22 is: 6,435.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,649.36 : 20,474.06 = 4,290.22 : x
  2. Step 2: Convert to fraction form
    13,649.36/20,474.06 = 4,290.22/x
  3. Step 3: Cross multiply
    13,649.36x = 20,474.06 × 4,290.22
  4. Step 4: Simplify right side
    13,649.36x = 87,838,221.69
  5. Step 5: Solve for x
    x = 87,838,221.69/13,649.36
  6. Step 6: Final answer
    x = 6,435.34

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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.