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Finding the Fourth Proportional to 25,866.24, 38,800.20 and 7,147.68

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Solution

The fourth proportional to 25,866.24, 38,800.20 and 7,147.68 is: 10,721.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,866.24 : 38,800.20 = 7,147.68 : x
  2. Step 2: Convert to fraction form
    25,866.24/38,800.20 = 7,147.68/x
  3. Step 3: Cross multiply
    25,866.24x = 38,800.20 × 7,147.68
  4. Step 4: Simplify right side
    25,866.24x = 277,331,413.54
  5. Step 5: Solve for x
    x = 277,331,413.54/25,866.24
  6. Step 6: Final answer
    x = 10,721.75

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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.