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Finding the Fourth Proportional to 12,185.74, 18,281.19 and 3,864.66

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Solution

The fourth proportional to 12,185.74, 18,281.19 and 3,864.66 is: 5,797.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.74 : 18,281.19 = 3,864.66 : x
  2. Step 2: Convert to fraction form
    12,185.74/18,281.19 = 3,864.66/x
  3. Step 3: Cross multiply
    12,185.74x = 18,281.19 × 3,864.66
  4. Step 4: Simplify right side
    12,185.74x = 70,650,632.52
  5. Step 5: Solve for x
    x = 70,650,632.52/12,185.74
  6. Step 6: Final answer
    x = 5,797.81

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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.