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Finding the Fourth Proportional to 21,183.40, 31,777.80 and 8,039.53

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Solution

The fourth proportional to 21,183.40, 31,777.80 and 8,039.53 is: 12,060.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,183.40 : 31,777.80 = 8,039.53 : x
  2. Step 2: Convert to fraction form
    21,183.40/31,777.80 = 8,039.53/x
  3. Step 3: Cross multiply
    21,183.40x = 31,777.80 × 8,039.53
  4. Step 4: Simplify right side
    21,183.40x = 255,478,576.43
  5. Step 5: Solve for x
    x = 255,478,576.43/21,183.40
  6. Step 6: Final answer
    x = 12,060.32

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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.