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Finding the Fourth Proportional to 16,817.31, 23,207.90 and 9,747.84

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Solution

The fourth proportional to 16,817.31, 23,207.90 and 9,747.84 is: 13,452.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,817.31 : 23,207.90 = 9,747.84 : x
  2. Step 2: Convert to fraction form
    16,817.31/23,207.90 = 9,747.84/x
  3. Step 3: Cross multiply
    16,817.31x = 23,207.90 × 9,747.84
  4. Step 4: Simplify right side
    16,817.31x = 226,226,895.94
  5. Step 5: Solve for x
    x = 226,226,895.94/16,817.31
  6. Step 6: Final answer
    x = 13,452.03

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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.