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Finding the Fourth Proportional to 25,413.74, 35,072.36 and 14,082.99

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Solution

The fourth proportional to 25,413.74, 35,072.36 and 14,082.99 is: 19,435.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,413.74 : 35,072.36 = 14,082.99 : x
  2. Step 2: Convert to fraction form
    25,413.74/35,072.36 = 14,082.99/x
  3. Step 3: Cross multiply
    25,413.74x = 35,072.36 × 14,082.99
  4. Step 4: Simplify right side
    25,413.74x = 493,923,809.07
  5. Step 5: Solve for x
    x = 493,923,809.07/25,413.74
  6. Step 6: Final answer
    x = 19,435.31

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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.