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Finding the Fourth Proportional to 13,270.87, 18,314.09 and 7,302.85

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Solution

The fourth proportional to 13,270.87, 18,314.09 and 7,302.85 is: 10,078.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,270.87 : 18,314.09 = 7,302.85 : x
  2. Step 2: Convert to fraction form
    13,270.87/18,314.09 = 7,302.85/x
  3. Step 3: Cross multiply
    13,270.87x = 18,314.09 × 7,302.85
  4. Step 4: Simplify right side
    13,270.87x = 133,745,052.16
  5. Step 5: Solve for x
    x = 133,745,052.16/13,270.87
  6. Step 6: Final answer
    x = 10,078.09

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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.