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Finding the Fourth Proportional to 17,682.50, 24,413.82 and 10,970.84

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Solution

The fourth proportional to 17,682.50, 24,413.82 and 10,970.84 is: 15,147.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,682.50 : 24,413.82 = 10,970.84 : x
  2. Step 2: Convert to fraction form
    17,682.50/24,413.82 = 10,970.84/x
  3. Step 3: Cross multiply
    17,682.50x = 24,413.82 × 10,970.84
  4. Step 4: Simplify right side
    17,682.50x = 267,840,113.01
  5. Step 5: Solve for x
    x = 267,840,113.01/17,682.50
  6. Step 6: Final answer
    x = 15,147.19

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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.