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Finding the Fourth Proportional to 12,097.08, 16,699.45 and 8,120.38

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Solution

The fourth proportional to 12,097.08, 16,699.45 and 8,120.38 is: 11,209.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.08 : 16,699.45 = 8,120.38 : x
  2. Step 2: Convert to fraction form
    12,097.08/16,699.45 = 8,120.38/x
  3. Step 3: Cross multiply
    12,097.08x = 16,699.45 × 8,120.38
  4. Step 4: Simplify right side
    12,097.08x = 135,605,879.79
  5. Step 5: Solve for x
    x = 135,605,879.79/12,097.08
  6. Step 6: Final answer
    x = 11,209.81

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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.