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Finding the Fourth Proportional to 13,461.26, 18,578.53 and 8,084.06

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Solution

The fourth proportional to 13,461.26, 18,578.53 and 8,084.06 is: 11,157.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,461.26 : 18,578.53 = 8,084.06 : x
  2. Step 2: Convert to fraction form
    13,461.26/18,578.53 = 8,084.06/x
  3. Step 3: Cross multiply
    13,461.26x = 18,578.53 × 8,084.06
  4. Step 4: Simplify right side
    13,461.26x = 150,189,951.23
  5. Step 5: Solve for x
    x = 150,189,951.23/13,461.26
  6. Step 6: Final answer
    x = 11,157.20

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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.