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Finding the Fourth Proportional to 20,941.17, 31,413.83 and 6,901.34

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Solution

The fourth proportional to 20,941.17, 31,413.83 and 6,901.34 is: 10,352.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,941.17 : 31,413.83 = 6,901.34 : x
  2. Step 2: Convert to fraction form
    20,941.17/31,413.83 = 6,901.34/x
  3. Step 3: Cross multiply
    20,941.17x = 31,413.83 × 6,901.34
  4. Step 4: Simplify right side
    20,941.17x = 216,797,329.96
  5. Step 5: Solve for x
    x = 216,797,329.96/20,941.17
  6. Step 6: Final answer
    x = 10,352.69

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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.