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Finding the Fourth Proportional to 22,401.78, 30,914.88 and 12,975.80

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Solution

The fourth proportional to 22,401.78, 30,914.88 and 12,975.80 is: 17,906.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,401.78 : 30,914.88 = 12,975.80 : x
  2. Step 2: Convert to fraction form
    22,401.78/30,914.88 = 12,975.80/x
  3. Step 3: Cross multiply
    22,401.78x = 30,914.88 × 12,975.80
  4. Step 4: Simplify right side
    22,401.78x = 401,145,299.90
  5. Step 5: Solve for x
    x = 401,145,299.90/22,401.78
  6. Step 6: Final answer
    x = 17,906.85

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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.