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Finding the Fourth Proportional to 13,067.68, 18,021.10 and 10,078.78

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Solution

The fourth proportional to 13,067.68, 18,021.10 and 10,078.78 is: 13,899.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,067.68 : 18,021.10 = 10,078.78 : x
  2. Step 2: Convert to fraction form
    13,067.68/18,021.10 = 10,078.78/x
  3. Step 3: Cross multiply
    13,067.68x = 18,021.10 × 10,078.78
  4. Step 4: Simplify right side
    13,067.68x = 181,630,702.26
  5. Step 5: Solve for x
    x = 181,630,702.26/13,067.68
  6. Step 6: Final answer
    x = 13,899.23

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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.