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Finding the Fourth Proportional to 12,812, 17,680.56 and 6,924

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Solution

The fourth proportional to 12,812, 17,680.56 and 6,924 is: 9,555.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,812 : 17,680.56 = 6,924 : x
  2. Step 2: Convert to fraction form
    12,812/17,680.56 = 6,924/x
  3. Step 3: Cross multiply
    12,812x = 17,680.56 × 6,924
  4. Step 4: Simplify right side
    12,812x = 122,420,197.44
  5. Step 5: Solve for x
    x = 122,420,197.44/12,812
  6. Step 6: Final answer
    x = 9,555.12

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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.