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Finding the Fourth Proportional to 13,997.61, 20,981.54 and 5,228.73

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Solution

The fourth proportional to 13,997.61, 20,981.54 and 5,228.73 is: 7,837.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,997.61 : 20,981.54 = 5,228.73 : x
  2. Step 2: Convert to fraction form
    13,997.61/20,981.54 = 5,228.73/x
  3. Step 3: Cross multiply
    13,997.61x = 20,981.54 × 5,228.73
  4. Step 4: Simplify right side
    13,997.61x = 109,706,781.50
  5. Step 5: Solve for x
    x = 109,706,781.50/13,997.61
  6. Step 6: Final answer
    x = 7,837.54

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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.