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Finding the Fourth Proportional to 14,654.34, 21,982.11 and 4,266.09

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Solution

The fourth proportional to 14,654.34, 21,982.11 and 4,266.09 is: 6,399.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,654.34 : 21,982.11 = 4,266.09 : x
  2. Step 2: Convert to fraction form
    14,654.34/21,982.11 = 4,266.09/x
  3. Step 3: Cross multiply
    14,654.34x = 21,982.11 × 4,266.09
  4. Step 4: Simplify right side
    14,654.34x = 93,777,659.65
  5. Step 5: Solve for x
    x = 93,777,659.65/14,654.34
  6. Step 6: Final answer
    x = 6,399.31

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