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Finding the Fourth Proportional to 22,422.69, 30,942.68 and 12,213.50

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Solution

The fourth proportional to 22,422.69, 30,942.68 and 12,213.50 is: 16,854.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,422.69 : 30,942.68 = 12,213.50 : x
  2. Step 2: Convert to fraction form
    22,422.69/30,942.68 = 12,213.50/x
  3. Step 3: Cross multiply
    22,422.69x = 30,942.68 × 12,213.50
  4. Step 4: Simplify right side
    22,422.69x = 377,918,206.40
  5. Step 5: Solve for x
    x = 377,918,206.40/22,422.69
  6. Step 6: Final answer
    x = 16,854.28

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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.