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Finding the Fourth Proportional to 12,177.69, 16,814.03 and 7,998.09

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Solution

The fourth proportional to 12,177.69, 16,814.03 and 7,998.09 is: 11,043.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,177.69 : 16,814.03 = 7,998.09 : x
  2. Step 2: Convert to fraction form
    12,177.69/16,814.03 = 7,998.09/x
  3. Step 3: Cross multiply
    12,177.69x = 16,814.03 × 7,998.09
  4. Step 4: Simplify right side
    12,177.69x = 134,480,085.21
  5. Step 5: Solve for x
    x = 134,480,085.21/12,177.69
  6. Step 6: Final answer
    x = 11,043.15

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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.