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Finding the Fourth Proportional to 18,570.26, 27,864.48 and 9,211.16

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Solution

The fourth proportional to 18,570.26, 27,864.48 and 9,211.16 is: 13,821.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,570.26 : 27,864.48 = 9,211.16 : x
  2. Step 2: Convert to fraction form
    18,570.26/27,864.48 = 9,211.16/x
  3. Step 3: Cross multiply
    18,570.26x = 27,864.48 × 9,211.16
  4. Step 4: Simplify right side
    18,570.26x = 256,664,183.60
  5. Step 5: Solve for x
    x = 256,664,183.60/18,570.26
  6. Step 6: Final answer
    x = 13,821.25

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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.