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Finding the Fourth Proportional to 12,209.30, 16,845.79 and 7,105.65

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Solution

The fourth proportional to 12,209.30, 16,845.79 and 7,105.65 is: 9,804.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,209.30 : 16,845.79 = 7,105.65 : x
  2. Step 2: Convert to fraction form
    12,209.30/16,845.79 = 7,105.65/x
  3. Step 3: Cross multiply
    12,209.30x = 16,845.79 × 7,105.65
  4. Step 4: Simplify right side
    12,209.30x = 119,700,269.95
  5. Step 5: Solve for x
    x = 119,700,269.95/12,209.30
  6. Step 6: Final answer
    x = 9,804.03

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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.