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Finding the Fourth Proportional to 22,945.68, 34,422 and 9,798

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Solution

The fourth proportional to 22,945.68, 34,422 and 9,798 is: 14,698.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,945.68 : 34,422 = 9,798 : x
  2. Step 2: Convert to fraction form
    22,945.68/34,422 = 9,798/x
  3. Step 3: Cross multiply
    22,945.68x = 34,422 × 9,798
  4. Step 4: Simplify right side
    22,945.68x = 337,266,756
  5. Step 5: Solve for x
    x = 337,266,756/22,945.68
  6. Step 6: Final answer
    x = 14,698.49

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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.