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Finding the Fourth Proportional to 17,074.48, 25,608.84 and 5,386

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Solution

The fourth proportional to 17,074.48, 25,608.84 and 5,386 is: 8,078.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,074.48 : 25,608.84 = 5,386 : x
  2. Step 2: Convert to fraction form
    17,074.48/25,608.84 = 5,386/x
  3. Step 3: Cross multiply
    17,074.48x = 25,608.84 × 5,386
  4. Step 4: Simplify right side
    17,074.48x = 137,929,212.24
  5. Step 5: Solve for x
    x = 137,929,212.24/17,074.48
  6. Step 6: Final answer
    x = 8,078.09

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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.