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Finding the Fourth Proportional to 12,183.26, 18,274.64 and 3,417.95

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Solution

The fourth proportional to 12,183.26, 18,274.64 and 3,417.95 is: 5,126.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,183.26 : 18,274.64 = 3,417.95 : x
  2. Step 2: Convert to fraction form
    12,183.26/18,274.64 = 3,417.95/x
  3. Step 3: Cross multiply
    12,183.26x = 18,274.64 × 3,417.95
  4. Step 4: Simplify right side
    12,183.26x = 62,461,697.33
  5. Step 5: Solve for x
    x = 62,461,697.33/12,183.26
  6. Step 6: Final answer
    x = 5,126.85

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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.