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Finding the Fourth Proportional to 12,844.01, 17,725.07 and 7,178.54

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Solution

The fourth proportional to 12,844.01, 17,725.07 and 7,178.54 is: 9,906.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,844.01 : 17,725.07 = 7,178.54 : x
  2. Step 2: Convert to fraction form
    12,844.01/17,725.07 = 7,178.54/x
  3. Step 3: Cross multiply
    12,844.01x = 17,725.07 × 7,178.54
  4. Step 4: Simplify right side
    12,844.01x = 127,240,053.32
  5. Step 5: Solve for x
    x = 127,240,053.32/12,844.01
  6. Step 6: Final answer
    x = 9,906.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.