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Finding the Fourth Proportional to 16,604.26, 22,912.20 and 9,798.10

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Solution

The fourth proportional to 16,604.26, 22,912.20 and 9,798.10 is: 13,520.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,604.26 : 22,912.20 = 9,798.10 : x
  2. Step 2: Convert to fraction form
    16,604.26/22,912.20 = 9,798.10/x
  3. Step 3: Cross multiply
    16,604.26x = 22,912.20 × 9,798.10
  4. Step 4: Simplify right side
    16,604.26x = 224,496,026.82
  5. Step 5: Solve for x
    x = 224,496,026.82/16,604.26
  6. Step 6: Final answer
    x = 13,520.39

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Why These Related Problems?

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