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Finding the Fourth Proportional to 17,843.84, 26,767.44 and 6,157.28

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Solution

The fourth proportional to 17,843.84, 26,767.44 and 6,157.28 is: 9,236.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,843.84 : 26,767.44 = 6,157.28 : x
  2. Step 2: Convert to fraction form
    17,843.84/26,767.44 = 6,157.28/x
  3. Step 3: Cross multiply
    17,843.84x = 26,767.44 × 6,157.28
  4. Step 4: Simplify right side
    17,843.84x = 164,814,622.96
  5. Step 5: Solve for x
    x = 164,814,622.96/17,843.84
  6. Step 6: Final answer
    x = 9,236.50

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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.