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Finding the Fourth Proportional to 25,187.97, 37,775.91 and 7,413.81

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Solution

The fourth proportional to 25,187.97, 37,775.91 and 7,413.81 is: 11,118.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,187.97 : 37,775.91 = 7,413.81 : x
  2. Step 2: Convert to fraction form
    25,187.97/37,775.91 = 7,413.81/x
  3. Step 3: Cross multiply
    25,187.97x = 37,775.91 × 7,413.81
  4. Step 4: Simplify right side
    25,187.97x = 280,063,249.86
  5. Step 5: Solve for x
    x = 280,063,249.86/25,187.97
  6. Step 6: Final answer
    x = 11,118.93

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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.