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Finding the Fourth Proportional to 17,078.48, 25,614.84 and 5,390

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Solution

The fourth proportional to 17,078.48, 25,614.84 and 5,390 is: 8,084.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,078.48 : 25,614.84 = 5,390 : x
  2. Step 2: Convert to fraction form
    17,078.48/25,614.84 = 5,390/x
  3. Step 3: Cross multiply
    17,078.48x = 25,614.84 × 5,390
  4. Step 4: Simplify right side
    17,078.48x = 138,063,987.60
  5. Step 5: Solve for x
    x = 138,063,987.60/17,078.48
  6. Step 6: Final answer
    x = 8,084.09

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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.