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Finding the Fourth Proportional to 17,922.95, 24,734.09 and 9,965

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Solution

The fourth proportional to 17,922.95, 24,734.09 and 9,965 is: 13,751.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,922.95 : 24,734.09 = 9,965 : x
  2. Step 2: Convert to fraction form
    17,922.95/24,734.09 = 9,965/x
  3. Step 3: Cross multiply
    17,922.95x = 24,734.09 × 9,965
  4. Step 4: Simplify right side
    17,922.95x = 246,475,206.85
  5. Step 5: Solve for x
    x = 246,475,206.85/17,922.95
  6. Step 6: Final answer
    x = 13,751.93

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Why These Related Problems?

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