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Finding the Fourth Proportional to 12,207.23, 16,839.80 and 7,723.43

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Solution

The fourth proportional to 12,207.23, 16,839.80 and 7,723.43 is: 10,654.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,207.23 : 16,839.80 = 7,723.43 : x
  2. Step 2: Convert to fraction form
    12,207.23/16,839.80 = 7,723.43/x
  3. Step 3: Cross multiply
    12,207.23x = 16,839.80 × 7,723.43
  4. Step 4: Simplify right side
    12,207.23x = 130,060,977.90
  5. Step 5: Solve for x
    x = 130,060,977.90/12,207.23
  6. Step 6: Final answer
    x = 10,654.42

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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.