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Finding the Fourth Proportional to 13,209.69, 19,796.70 and 6,640.59

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Solution

The fourth proportional to 13,209.69, 19,796.70 and 6,640.59 is: 9,951.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,209.69 : 19,796.70 = 6,640.59 : x
  2. Step 2: Convert to fraction form
    13,209.69/19,796.70 = 6,640.59/x
  3. Step 3: Cross multiply
    13,209.69x = 19,796.70 × 6,640.59
  4. Step 4: Simplify right side
    13,209.69x = 131,461,768.05
  5. Step 5: Solve for x
    x = 131,461,768.05/13,209.69
  6. Step 6: Final answer
    x = 9,951.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.