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Finding the Fourth Proportional to 12,095.10, 18,149.64 and 5,074.48

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Solution

The fourth proportional to 12,095.10, 18,149.64 and 5,074.48 is: 7,614.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,095.10 : 18,149.64 = 5,074.48 : x
  2. Step 2: Convert to fraction form
    12,095.10/18,149.64 = 5,074.48/x
  3. Step 3: Cross multiply
    12,095.10x = 18,149.64 × 5,074.48
  4. Step 4: Simplify right side
    12,095.10x = 92,099,985.19
  5. Step 5: Solve for x
    x = 92,099,985.19/12,095.10
  6. Step 6: Final answer
    x = 7,614.65

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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.