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Finding the Fourth Proportional to 13,764.50, 20,649.82 and 4,405.07

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Solution

The fourth proportional to 13,764.50, 20,649.82 and 4,405.07 is: 6,608.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,764.50 : 20,649.82 = 4,405.07 : x
  2. Step 2: Convert to fraction form
    13,764.50/20,649.82 = 4,405.07/x
  3. Step 3: Cross multiply
    13,764.50x = 20,649.82 × 4,405.07
  4. Step 4: Simplify right side
    13,764.50x = 90,963,880.56
  5. Step 5: Solve for x
    x = 90,963,880.56/13,764.50
  6. Step 6: Final answer
    x = 6,608.59

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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.