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Finding the Fourth Proportional to 17,067.09, 25,601.91 and 5,380

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Solution

The fourth proportional to 17,067.09, 25,601.91 and 5,380 is: 8,070.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,067.09 : 25,601.91 = 5,380 : x
  2. Step 2: Convert to fraction form
    17,067.09/25,601.91 = 5,380/x
  3. Step 3: Cross multiply
    17,067.09x = 25,601.91 × 5,380
  4. Step 4: Simplify right side
    17,067.09x = 137,738,275.80
  5. Step 5: Solve for x
    x = 137,738,275.80/17,067.09
  6. Step 6: Final answer
    x = 8,070.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.