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Finding the Fourth Proportional to 20,893.52, 31,350.26 and 9,205.20

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Solution

The fourth proportional to 20,893.52, 31,350.26 and 9,205.20 is: 13,812.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,893.52 : 31,350.26 = 9,205.20 : x
  2. Step 2: Convert to fraction form
    20,893.52/31,350.26 = 9,205.20/x
  3. Step 3: Cross multiply
    20,893.52x = 31,350.26 × 9,205.20
  4. Step 4: Simplify right side
    20,893.52x = 288,585,413.35
  5. Step 5: Solve for x
    x = 288,585,413.35/20,893.52
  6. Step 6: Final answer
    x = 13,812.20

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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.