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Finding the Fourth Proportional to 25,413.20, 35,069.19 and 14,082.86

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Solution

The fourth proportional to 25,413.20, 35,069.19 and 14,082.86 is: 19,433.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,413.20 : 35,069.19 = 14,082.86 : x
  2. Step 2: Convert to fraction form
    25,413.20/35,069.19 = 14,082.86/x
  3. Step 3: Cross multiply
    25,413.20x = 35,069.19 × 14,082.86
  4. Step 4: Simplify right side
    25,413.20x = 493,874,493.08
  5. Step 5: Solve for x
    x = 493,874,493.08/25,413.20
  6. Step 6: Final answer
    x = 19,433.78

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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.