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Finding the Fourth Proportional to 20,937.47, 31,413.49 and 9,852.62

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Solution

The fourth proportional to 20,937.47, 31,413.49 and 9,852.62 is: 14,782.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,937.47 : 31,413.49 = 9,852.62 : x
  2. Step 2: Convert to fraction form
    20,937.47/31,413.49 = 9,852.62/x
  3. Step 3: Cross multiply
    20,937.47x = 31,413.49 × 9,852.62
  4. Step 4: Simplify right side
    20,937.47x = 309,504,998.14
  5. Step 5: Solve for x
    x = 309,504,998.14/20,937.47
  6. Step 6: Final answer
    x = 14,782.35

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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.