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Finding the Fourth Proportional to 19,797.75, 29,709.59 and 7,485.75

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Solution

The fourth proportional to 19,797.75, 29,709.59 and 7,485.75 is: 11,233.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,797.75 : 29,709.59 = 7,485.75 : x
  2. Step 2: Convert to fraction form
    19,797.75/29,709.59 = 7,485.75/x
  3. Step 3: Cross multiply
    19,797.75x = 29,709.59 × 7,485.75
  4. Step 4: Simplify right side
    19,797.75x = 222,398,525.91
  5. Step 5: Solve for x
    x = 222,398,525.91/19,797.75
  6. Step 6: Final answer
    x = 11,233.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.