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Finding the Fourth Proportional to 20,858.67, 31,266.14 and 9,756

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Solution

The fourth proportional to 20,858.67, 31,266.14 and 9,756 is: 14,623.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,858.67 : 31,266.14 = 9,756 : x
  2. Step 2: Convert to fraction form
    20,858.67/31,266.14 = 9,756/x
  3. Step 3: Cross multiply
    20,858.67x = 31,266.14 × 9,756
  4. Step 4: Simplify right side
    20,858.67x = 305,032,413.06
  5. Step 5: Solve for x
    x = 305,032,413.06/20,858.67
  6. Step 6: Final answer
    x = 14,623.77

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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.