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Finding the Fourth Proportional to 17,922.27, 24,734.23 and 9,965.23

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Solution

The fourth proportional to 17,922.27, 24,734.23 and 9,965.23 is: 13,752.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,922.27 : 24,734.23 = 9,965.23 : x
  2. Step 2: Convert to fraction form
    17,922.27/24,734.23 = 9,965.23/x
  3. Step 3: Cross multiply
    17,922.27x = 24,734.23 × 9,965.23
  4. Step 4: Simplify right side
    17,922.27x = 246,482,290.82
  5. Step 5: Solve for x
    x = 246,482,290.82/17,922.27
  6. Step 6: Final answer
    x = 13,752.85

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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.