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Finding the Fourth Proportional to 12,697.25, 17,522.21 and 7,108.25

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Solution

The fourth proportional to 12,697.25, 17,522.21 and 7,108.25 is: 9,809.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,697.25 : 17,522.21 = 7,108.25 : x
  2. Step 2: Convert to fraction form
    12,697.25/17,522.21 = 7,108.25/x
  3. Step 3: Cross multiply
    12,697.25x = 17,522.21 × 7,108.25
  4. Step 4: Simplify right side
    12,697.25x = 124,552,213.69
  5. Step 5: Solve for x
    x = 124,552,213.69/12,697.25
  6. Step 6: Final answer
    x = 9,809.39

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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.