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Finding the Fourth Proportional to 11,817.34, 16,309.73 and 8,980.09

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Solution

The fourth proportional to 11,817.34, 16,309.73 and 8,980.09 is: 12,393.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.34 : 16,309.73 = 8,980.09 : x
  2. Step 2: Convert to fraction form
    11,817.34/16,309.73 = 8,980.09/x
  3. Step 3: Cross multiply
    11,817.34x = 16,309.73 × 8,980.09
  4. Step 4: Simplify right side
    11,817.34x = 146,462,843.28
  5. Step 5: Solve for x
    x = 146,462,843.28/11,817.34
  6. Step 6: Final answer
    x = 12,393.89

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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.