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Finding the Fourth Proportional to 12,182.76, 18,272.03 and 3,415.59

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Solution

The fourth proportional to 12,182.76, 18,272.03 and 3,415.59 is: 5,122.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182.76 : 18,272.03 = 3,415.59 : x
  2. Step 2: Convert to fraction form
    12,182.76/18,272.03 = 3,415.59/x
  3. Step 3: Cross multiply
    12,182.76x = 18,272.03 × 3,415.59
  4. Step 4: Simplify right side
    12,182.76x = 62,409,745.87
  5. Step 5: Solve for x
    x = 62,409,745.87/12,182.76
  6. Step 6: Final answer
    x = 5,122.79

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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.