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Finding the Fourth Proportional to 18,568.26, 27,861.48 and 9,209.16

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Solution

The fourth proportional to 18,568.26, 27,861.48 and 9,209.16 is: 13,818.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,568.26 : 27,861.48 = 9,209.16 : x
  2. Step 2: Convert to fraction form
    18,568.26/27,861.48 = 9,209.16/x
  3. Step 3: Cross multiply
    18,568.26x = 27,861.48 × 9,209.16
  4. Step 4: Simplify right side
    18,568.26x = 256,580,827.16
  5. Step 5: Solve for x
    x = 256,580,827.16/18,568.26
  6. Step 6: Final answer
    x = 13,818.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.