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Finding the Fourth Proportional to 17,391.44, 24,000.36 and 9,434

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Solution

The fourth proportional to 17,391.44, 24,000.36 and 9,434 is: 13,019.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,391.44 : 24,000.36 = 9,434 : x
  2. Step 2: Convert to fraction form
    17,391.44/24,000.36 = 9,434/x
  3. Step 3: Cross multiply
    17,391.44x = 24,000.36 × 9,434
  4. Step 4: Simplify right side
    17,391.44x = 226,419,396.24
  5. Step 5: Solve for x
    x = 226,419,396.24/17,391.44
  6. Step 6: Final answer
    x = 13,019.01

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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.