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Finding the Fourth Proportional to 25,413.84, 38,125.80 and 7,882.92

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Solution

The fourth proportional to 25,413.84, 38,125.80 and 7,882.92 is: 11,825.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,413.84 : 38,125.80 = 7,882.92 : x
  2. Step 2: Convert to fraction form
    25,413.84/38,125.80 = 7,882.92/x
  3. Step 3: Cross multiply
    25,413.84x = 38,125.80 × 7,882.92
  4. Step 4: Simplify right side
    25,413.84x = 300,542,631.34
  5. Step 5: Solve for x
    x = 300,542,631.34/25,413.84
  6. Step 6: Final answer
    x = 11,825.94

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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.