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Finding the Fourth Proportional to 18,568.44, 27,853.98 and 7,475.16

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Solution

The fourth proportional to 18,568.44, 27,853.98 and 7,475.16 is: 11,213.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,568.44 : 27,853.98 = 7,475.16 : x
  2. Step 2: Convert to fraction form
    18,568.44/27,853.98 = 7,475.16/x
  3. Step 3: Cross multiply
    18,568.44x = 27,853.98 × 7,475.16
  4. Step 4: Simplify right side
    18,568.44x = 208,212,957.14
  5. Step 5: Solve for x
    x = 208,212,957.14/18,568.44
  6. Step 6: Final answer
    x = 11,213.27

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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.