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Finding the Fourth Proportional to 25,651.46, 38,459.76 and 11,413.75

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Solution

The fourth proportional to 25,651.46, 38,459.76 and 11,413.75 is: 17,112.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,651.46 : 38,459.76 = 11,413.75 : x
  2. Step 2: Convert to fraction form
    25,651.46/38,459.76 = 11,413.75/x
  3. Step 3: Cross multiply
    25,651.46x = 38,459.76 × 11,413.75
  4. Step 4: Simplify right side
    25,651.46x = 438,970,028.98
  5. Step 5: Solve for x
    x = 438,970,028.98/25,651.46
  6. Step 6: Final answer
    x = 17,112.87

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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.