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Finding the Fourth Proportional to 12,049.63, 18,074.39 and 8,038.53

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Solution

The fourth proportional to 12,049.63, 18,074.39 and 8,038.53 is: 12,057.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,049.63 : 18,074.39 = 8,038.53 : x
  2. Step 2: Convert to fraction form
    12,049.63/18,074.39 = 8,038.53/x
  3. Step 3: Cross multiply
    12,049.63x = 18,074.39 × 8,038.53
  4. Step 4: Simplify right side
    12,049.63x = 145,291,553.83
  5. Step 5: Solve for x
    x = 145,291,553.83/12,049.63
  6. Step 6: Final answer
    x = 12,057.76

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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.