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Finding the Fourth Proportional to 13,115.14, 18,099.09 and 7,146.80

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Solution

The fourth proportional to 13,115.14, 18,099.09 and 7,146.80 is: 9,862.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,115.14 : 18,099.09 = 7,146.80 : x
  2. Step 2: Convert to fraction form
    13,115.14/18,099.09 = 7,146.80/x
  3. Step 3: Cross multiply
    13,115.14x = 18,099.09 × 7,146.80
  4. Step 4: Simplify right side
    13,115.14x = 129,350,485.92
  5. Step 5: Solve for x
    x = 129,350,485.92/13,115.14
  6. Step 6: Final answer
    x = 9,862.69

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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.