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Finding the Fourth Proportional to 12,846.95, 17,723.81 and 8,064.87

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Solution

The fourth proportional to 12,846.95, 17,723.81 and 8,064.87 is: 11,126.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.95 : 17,723.81 = 8,064.87 : x
  2. Step 2: Convert to fraction form
    12,846.95/17,723.81 = 8,064.87/x
  3. Step 3: Cross multiply
    12,846.95x = 17,723.81 × 8,064.87
  4. Step 4: Simplify right side
    12,846.95x = 142,940,177.25
  5. Step 5: Solve for x
    x = 142,940,177.25/12,846.95
  6. Step 6: Final answer
    x = 11,126.39

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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.