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Finding the Fourth Proportional to 13,649.76, 20,474.64 and 4,885.20

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Solution

The fourth proportional to 13,649.76, 20,474.64 and 4,885.20 is: 7,327.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,649.76 : 20,474.64 = 4,885.20 : x
  2. Step 2: Convert to fraction form
    13,649.76/20,474.64 = 4,885.20/x
  3. Step 3: Cross multiply
    13,649.76x = 20,474.64 × 4,885.20
  4. Step 4: Simplify right side
    13,649.76x = 100,022,711.33
  5. Step 5: Solve for x
    x = 100,022,711.33/13,649.76
  6. Step 6: Final answer
    x = 7,327.80

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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.