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Finding the Fourth Proportional to 14,649.50, 20,216.31 and 8,361.74

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Solution

The fourth proportional to 14,649.50, 20,216.31 and 8,361.74 is: 11,539.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,649.50 : 20,216.31 = 8,361.74 : x
  2. Step 2: Convert to fraction form
    14,649.50/20,216.31 = 8,361.74/x
  3. Step 3: Cross multiply
    14,649.50x = 20,216.31 × 8,361.74
  4. Step 4: Simplify right side
    14,649.50x = 169,043,527.98
  5. Step 5: Solve for x
    x = 169,043,527.98/14,649.50
  6. Step 6: Final answer
    x = 11,539.20

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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.