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Finding the Fourth Proportional to 22,969.50, 31,697.94 and 13,033.50

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Solution

The fourth proportional to 22,969.50, 31,697.94 and 13,033.50 is: 17,986.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,969.50 : 31,697.94 = 13,033.50 : x
  2. Step 2: Convert to fraction form
    22,969.50/31,697.94 = 13,033.50/x
  3. Step 3: Cross multiply
    22,969.50x = 31,697.94 × 13,033.50
  4. Step 4: Simplify right side
    22,969.50x = 413,135,100.99
  5. Step 5: Solve for x
    x = 413,135,100.99/22,969.50
  6. Step 6: Final answer
    x = 17,986.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.