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Finding the Fourth Proportional to 12,853.09, 17,739.17 and 8,137.81

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Solution

The fourth proportional to 12,853.09, 17,739.17 and 8,137.81 is: 11,231.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,853.09 : 17,739.17 = 8,137.81 : x
  2. Step 2: Convert to fraction form
    12,853.09/17,739.17 = 8,137.81/x
  3. Step 3: Cross multiply
    12,853.09x = 17,739.17 × 8,137.81
  4. Step 4: Simplify right side
    12,853.09x = 144,357,995.02
  5. Step 5: Solve for x
    x = 144,357,995.02/12,853.09
  6. Step 6: Final answer
    x = 11,231.38

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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.