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Finding the Fourth Proportional to 16,811.42, 23,207.73 and 9,735.26

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Solution

The fourth proportional to 16,811.42, 23,207.73 and 9,735.26 is: 13,439.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,811.42 : 23,207.73 = 9,735.26 : x
  2. Step 2: Convert to fraction form
    16,811.42/23,207.73 = 9,735.26/x
  3. Step 3: Cross multiply
    16,811.42x = 23,207.73 × 9,735.26
  4. Step 4: Simplify right side
    16,811.42x = 225,933,285.56
  5. Step 5: Solve for x
    x = 225,933,285.56/16,811.42
  6. Step 6: Final answer
    x = 13,439.27

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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.