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Finding the Fourth Proportional to 19,637, 29,468.46 and 7,325

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Solution

The fourth proportional to 19,637, 29,468.46 and 7,325 is: 10,992.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,637 : 29,468.46 = 7,325 : x
  2. Step 2: Convert to fraction form
    19,637/29,468.46 = 7,325/x
  3. Step 3: Cross multiply
    19,637x = 29,468.46 × 7,325
  4. Step 4: Simplify right side
    19,637x = 215,856,469.50
  5. Step 5: Solve for x
    x = 215,856,469.50/19,637
  6. Step 6: Final answer
    x = 10,992.33

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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.