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Finding the Fourth Proportional to 12,356.50, 17,051.97 and 6,767.54

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Solution

The fourth proportional to 12,356.50, 17,051.97 and 6,767.54 is: 9,339.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,356.50 : 17,051.97 = 6,767.54 : x
  2. Step 2: Convert to fraction form
    12,356.50/17,051.97 = 6,767.54/x
  3. Step 3: Cross multiply
    12,356.50x = 17,051.97 × 6,767.54
  4. Step 4: Simplify right side
    12,356.50x = 115,399,889.05
  5. Step 5: Solve for x
    x = 115,399,889.05/12,356.50
  6. Step 6: Final answer
    x = 9,339.21

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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.