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Finding the Fourth Proportional to 12,177.38, 16,804.80 and 6,588.38

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Solution

The fourth proportional to 12,177.38, 16,804.80 and 6,588.38 is: 9,091.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,177.38 : 16,804.80 = 6,588.38 : x
  2. Step 2: Convert to fraction form
    12,177.38/16,804.80 = 6,588.38/x
  3. Step 3: Cross multiply
    12,177.38x = 16,804.80 × 6,588.38
  4. Step 4: Simplify right side
    12,177.38x = 110,716,324.20
  5. Step 5: Solve for x
    x = 110,716,324.20/12,177.38
  6. Step 6: Final answer
    x = 9,091.97

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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.