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Finding the Fourth Proportional to 22,354.50, 30,849.21 and 12,418.50

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Solution

The fourth proportional to 22,354.50, 30,849.21 and 12,418.50 is: 17,137.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,354.50 : 30,849.21 = 12,418.50 : x
  2. Step 2: Convert to fraction form
    22,354.50/30,849.21 = 12,418.50/x
  3. Step 3: Cross multiply
    22,354.50x = 30,849.21 × 12,418.50
  4. Step 4: Simplify right side
    22,354.50x = 383,100,914.39
  5. Step 5: Solve for x
    x = 383,100,914.39/22,354.50
  6. Step 6: Final answer
    x = 17,137.53

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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.