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Finding the Fourth Proportional to 17,269.83, 23,832.21 and 9,817.83

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Solution

The fourth proportional to 17,269.83, 23,832.21 and 9,817.83 is: 13,548.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,269.83 : 23,832.21 = 9,817.83 : x
  2. Step 2: Convert to fraction form
    17,269.83/23,832.21 = 9,817.83/x
  3. Step 3: Cross multiply
    17,269.83x = 23,832.21 × 9,817.83
  4. Step 4: Simplify right side
    17,269.83x = 233,980,586.30
  5. Step 5: Solve for x
    x = 233,980,586.30/17,269.83
  6. Step 6: Final answer
    x = 13,548.52

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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.