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Finding the Fourth Proportional to 12,301.50, 16,975.98 and 6,996.31

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Solution

The fourth proportional to 12,301.50, 16,975.98 and 6,996.31 is: 9,654.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,301.50 : 16,975.98 = 6,996.31 : x
  2. Step 2: Convert to fraction form
    12,301.50/16,975.98 = 6,996.31/x
  3. Step 3: Cross multiply
    12,301.50x = 16,975.98 × 6,996.31
  4. Step 4: Simplify right side
    12,301.50x = 118,769,218.63
  5. Step 5: Solve for x
    x = 118,769,218.63/12,301.50
  6. Step 6: Final answer
    x = 9,654.86

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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.