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Finding the Fourth Proportional to 12,177.54, 16,803.66 and 6,871.38

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Solution

The fourth proportional to 12,177.54, 16,803.66 and 6,871.38 is: 9,481.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,177.54 : 16,803.66 = 6,871.38 : x
  2. Step 2: Convert to fraction form
    12,177.54/16,803.66 = 6,871.38/x
  3. Step 3: Cross multiply
    12,177.54x = 16,803.66 × 6,871.38
  4. Step 4: Simplify right side
    12,177.54x = 115,464,333.25
  5. Step 5: Solve for x
    x = 115,464,333.25/12,177.54
  6. Step 6: Final answer
    x = 9,481.75

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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.