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Finding the Fourth Proportional to 12,183.34, 18,274.51 and 6,671.63

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Solution

The fourth proportional to 12,183.34, 18,274.51 and 6,671.63 is: 10,007.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,183.34 : 18,274.51 = 6,671.63 : x
  2. Step 2: Convert to fraction form
    12,183.34/18,274.51 = 6,671.63/x
  3. Step 3: Cross multiply
    12,183.34x = 18,274.51 × 6,671.63
  4. Step 4: Simplify right side
    12,183.34x = 121,920,769.15
  5. Step 5: Solve for x
    x = 121,920,769.15/12,183.34
  6. Step 6: Final answer
    x = 10,007.17

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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.