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Finding the Fourth Proportional to 22,027.50, 30,396.75 and 12,468.51

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Solution

The fourth proportional to 22,027.50, 30,396.75 and 12,468.51 is: 17,205.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,027.50 : 30,396.75 = 12,468.51 : x
  2. Step 2: Convert to fraction form
    22,027.50/30,396.75 = 12,468.51/x
  3. Step 3: Cross multiply
    22,027.50x = 30,396.75 × 12,468.51
  4. Step 4: Simplify right side
    22,027.50x = 379,002,181.34
  5. Step 5: Solve for x
    x = 379,002,181.34/22,027.50
  6. Step 6: Final answer
    x = 17,205.86

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