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Finding the Fourth Proportional to 13,078.69, 18,046.33 and 7,412.26

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Solution

The fourth proportional to 13,078.69, 18,046.33 and 7,412.26 is: 10,227.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.69 : 18,046.33 = 7,412.26 : x
  2. Step 2: Convert to fraction form
    13,078.69/18,046.33 = 7,412.26/x
  3. Step 3: Cross multiply
    13,078.69x = 18,046.33 × 7,412.26
  4. Step 4: Simplify right side
    13,078.69x = 133,764,090.01
  5. Step 5: Solve for x
    x = 133,764,090.01/13,078.69
  6. Step 6: Final answer
    x = 10,227.64

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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.