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Finding the Fourth Proportional to 13,084.31, 18,045.18 and 8,834.24

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Solution

The fourth proportional to 13,084.31, 18,045.18 and 8,834.24 is: 12,183.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,084.31 : 18,045.18 = 8,834.24 : x
  2. Step 2: Convert to fraction form
    13,084.31/18,045.18 = 8,834.24/x
  3. Step 3: Cross multiply
    13,084.31x = 18,045.18 × 8,834.24
  4. Step 4: Simplify right side
    13,084.31x = 159,415,360.74
  5. Step 5: Solve for x
    x = 159,415,360.74/13,084.31
  6. Step 6: Final answer
    x = 12,183.71

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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.