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Finding the Fourth Proportional to 20,516.26, 30,750.09 and 9,413.68

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Solution

The fourth proportional to 20,516.26, 30,750.09 and 9,413.68 is: 14,109.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,516.26 : 30,750.09 = 9,413.68 : x
  2. Step 2: Convert to fraction form
    20,516.26/30,750.09 = 9,413.68/x
  3. Step 3: Cross multiply
    20,516.26x = 30,750.09 × 9,413.68
  4. Step 4: Simplify right side
    20,516.26x = 289,471,507.23
  5. Step 5: Solve for x
    x = 289,471,507.23/20,516.26
  6. Step 6: Final answer
    x = 14,109.37

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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.