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Finding the Fourth Proportional to 27,704.54, 38,232.12 and 17,094.14

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Solution

The fourth proportional to 27,704.54, 38,232.12 and 17,094.14 is: 23,589.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,704.54 : 38,232.12 = 17,094.14 : x
  2. Step 2: Convert to fraction form
    27,704.54/38,232.12 = 17,094.14/x
  3. Step 3: Cross multiply
    27,704.54x = 38,232.12 × 17,094.14
  4. Step 4: Simplify right side
    27,704.54x = 653,545,211.78
  5. Step 5: Solve for x
    x = 653,545,211.78/27,704.54
  6. Step 6: Final answer
    x = 23,589.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.