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Finding the Fourth Proportional to 27,057.86, 37,339.80 and 15,734

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Solution

The fourth proportional to 27,057.86, 37,339.80 and 15,734 is: 21,712.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,057.86 : 37,339.80 = 15,734 : x
  2. Step 2: Convert to fraction form
    27,057.86/37,339.80 = 15,734/x
  3. Step 3: Cross multiply
    27,057.86x = 37,339.80 × 15,734
  4. Step 4: Simplify right side
    27,057.86x = 587,504,413.20
  5. Step 5: Solve for x
    x = 587,504,413.20/27,057.86
  6. Step 6: Final answer
    x = 21,712.89

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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.