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Finding the Fourth Proportional to 14,649, 20,215.62 and 8,361.24

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Solution

The fourth proportional to 14,649, 20,215.62 and 8,361.24 is: 11,538.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,649 : 20,215.62 = 8,361.24 : x
  2. Step 2: Convert to fraction form
    14,649/20,215.62 = 8,361.24/x
  3. Step 3: Cross multiply
    14,649x = 20,215.62 × 8,361.24
  4. Step 4: Simplify right side
    14,649x = 169,027,650.57
  5. Step 5: Solve for x
    x = 169,027,650.57/14,649
  6. Step 6: Final answer
    x = 11,538.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.