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Finding the Fourth Proportional to 12,509.42, 18,764.14 and 3,149.44

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Solution

The fourth proportional to 12,509.42, 18,764.14 and 3,149.44 is: 4,724.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.42 : 18,764.14 = 3,149.44 : x
  2. Step 2: Convert to fraction form
    12,509.42/18,764.14 = 3,149.44/x
  3. Step 3: Cross multiply
    12,509.42x = 18,764.14 × 3,149.44
  4. Step 4: Simplify right side
    12,509.42x = 59,096,471.10
  5. Step 5: Solve for x
    x = 59,096,471.10/12,509.42
  6. Step 6: Final answer
    x = 4,724.16

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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.