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Finding the Fourth Proportional to 12,182.74, 18,270.30 and 4,785.22

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Solution

The fourth proportional to 12,182.74, 18,270.30 and 4,785.22 is: 7,176.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182.74 : 18,270.30 = 4,785.22 : x
  2. Step 2: Convert to fraction form
    12,182.74/18,270.30 = 4,785.22/x
  3. Step 3: Cross multiply
    12,182.74x = 18,270.30 × 4,785.22
  4. Step 4: Simplify right side
    12,182.74x = 87,427,404.97
  5. Step 5: Solve for x
    x = 87,427,404.97/12,182.74
  6. Step 6: Final answer
    x = 7,176.33

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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.