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Finding the Fourth Proportional to 13,304.89, 19,969.70 and 6,735.73

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Solution

The fourth proportional to 13,304.89, 19,969.70 and 6,735.73 is: 10,109.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,304.89 : 19,969.70 = 6,735.73 : x
  2. Step 2: Convert to fraction form
    13,304.89/19,969.70 = 6,735.73/x
  3. Step 3: Cross multiply
    13,304.89x = 19,969.70 × 6,735.73
  4. Step 4: Simplify right side
    13,304.89x = 134,510,507.38
  5. Step 5: Solve for x
    x = 134,510,507.38/13,304.89
  6. Step 6: Final answer
    x = 10,109.85

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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.