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Finding the Fourth Proportional to 12,095.66, 18,145.80 and 4,197.87

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Solution

The fourth proportional to 12,095.66, 18,145.80 and 4,197.87 is: 6,297.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,095.66 : 18,145.80 = 4,197.87 : x
  2. Step 2: Convert to fraction form
    12,095.66/18,145.80 = 4,197.87/x
  3. Step 3: Cross multiply
    12,095.66x = 18,145.80 × 4,197.87
  4. Step 4: Simplify right side
    12,095.66x = 76,173,709.45
  5. Step 5: Solve for x
    x = 76,173,709.45/12,095.66
  6. Step 6: Final answer
    x = 6,297.61

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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.