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Finding the Fourth Proportional to 12,095.24, 18,149.86 and 5,074.63

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Solution

The fourth proportional to 12,095.24, 18,149.86 and 5,074.63 is: 7,614.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,095.24 : 18,149.86 = 5,074.63 : x
  2. Step 2: Convert to fraction form
    12,095.24/18,149.86 = 5,074.63/x
  3. Step 3: Cross multiply
    12,095.24x = 18,149.86 × 5,074.63
  4. Step 4: Simplify right side
    12,095.24x = 92,103,707.93
  5. Step 5: Solve for x
    x = 92,103,707.93/12,095.24
  6. Step 6: Final answer
    x = 7,614.88

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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.