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Finding the Fourth Proportional to 12,183.54, 16,812.93 and 6,878.85

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Solution

The fourth proportional to 12,183.54, 16,812.93 and 6,878.85 is: 9,492.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,183.54 : 16,812.93 = 6,878.85 : x
  2. Step 2: Convert to fraction form
    12,183.54/16,812.93 = 6,878.85/x
  3. Step 3: Cross multiply
    12,183.54x = 16,812.93 × 6,878.85
  4. Step 4: Simplify right side
    12,183.54x = 115,653,623.53
  5. Step 5: Solve for x
    x = 115,653,623.53/12,183.54
  6. Step 6: Final answer
    x = 9,492.61

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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.