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Finding the Fourth Proportional to 17,880.21, 24,674.22 and 9,922.23

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Solution

The fourth proportional to 17,880.21, 24,674.22 and 9,922.23 is: 13,692.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,880.21 : 24,674.22 = 9,922.23 : x
  2. Step 2: Convert to fraction form
    17,880.21/24,674.22 = 9,922.23/x
  3. Step 3: Cross multiply
    17,880.21x = 24,674.22 × 9,922.23
  4. Step 4: Simplify right side
    17,880.21x = 244,823,285.91
  5. Step 5: Solve for x
    x = 244,823,285.91/17,880.21
  6. Step 6: Final answer
    x = 13,692.42

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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.