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Finding the Fourth Proportional to 19,414, 29,121.27 and 5,563

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Solution

The fourth proportional to 19,414, 29,121.27 and 5,563 is: 8,344.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,414 : 29,121.27 = 5,563 : x
  2. Step 2: Convert to fraction form
    19,414/29,121.27 = 5,563/x
  3. Step 3: Cross multiply
    19,414x = 29,121.27 × 5,563
  4. Step 4: Simplify right side
    19,414x = 162,001,625.01
  5. Step 5: Solve for x
    x = 162,001,625.01/19,414
  6. Step 6: Final answer
    x = 8,344.58

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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.