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Finding the Fourth Proportional to 18,146.75, 27,213.12 and 7,052.00

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Solution

The fourth proportional to 18,146.75, 27,213.12 and 7,052.00 is: 10,575.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,146.75 : 27,213.12 = 7,052.00 : x
  2. Step 2: Convert to fraction form
    18,146.75/27,213.12 = 7,052.00/x
  3. Step 3: Cross multiply
    18,146.75x = 27,213.12 × 7,052.00
  4. Step 4: Simplify right side
    18,146.75x = 191,906,786.17
  5. Step 5: Solve for x
    x = 191,906,786.17/18,146.75
  6. Step 6: Final answer
    x = 10,575.27

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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.