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Finding the Fourth Proportional to 13,106.33, 18,086.97 and 7,138.02

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Solution

The fourth proportional to 13,106.33, 18,086.97 and 7,138.02 is: 9,850.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,106.33 : 18,086.97 = 7,138.02 : x
  2. Step 2: Convert to fraction form
    13,106.33/18,086.97 = 7,138.02/x
  3. Step 3: Cross multiply
    13,106.33x = 18,086.97 × 7,138.02
  4. Step 4: Simplify right side
    13,106.33x = 129,105,153.60
  5. Step 5: Solve for x
    x = 129,105,153.60/13,106.33
  6. Step 6: Final answer
    x = 9,850.60

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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.