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Finding the Fourth Proportional to 12,183.78, 16,812.44 and 9,671.98

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Solution

The fourth proportional to 12,183.78, 16,812.44 and 9,671.98 is: 13,346.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,183.78 : 16,812.44 = 9,671.98 : x
  2. Step 2: Convert to fraction form
    12,183.78/16,812.44 = 9,671.98/x
  3. Step 3: Cross multiply
    12,183.78x = 16,812.44 × 9,671.98
  4. Step 4: Simplify right side
    12,183.78x = 162,609,583.43
  5. Step 5: Solve for x
    x = 162,609,583.43/12,183.78
  6. Step 6: Final answer
    x = 13,346.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.