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Finding the Fourth Proportional to 13,106.82, 18,087.48 and 7,138.65

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Solution

The fourth proportional to 13,106.82, 18,087.48 and 7,138.65 is: 9,851.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,106.82 : 18,087.48 = 7,138.65 : x
  2. Step 2: Convert to fraction form
    13,106.82/18,087.48 = 7,138.65/x
  3. Step 3: Cross multiply
    13,106.82x = 18,087.48 × 7,138.65
  4. Step 4: Simplify right side
    13,106.82x = 129,120,189.10
  5. Step 5: Solve for x
    x = 129,120,189.10/13,106.82
  6. Step 6: Final answer
    x = 9,851.37

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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.