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Finding the Fourth Proportional to 12,809.89, 17,677.09 and 9,451.49

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Solution

The fourth proportional to 12,809.89, 17,677.09 and 9,451.49 is: 13,042.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,809.89 : 17,677.09 = 9,451.49 : x
  2. Step 2: Convert to fraction form
    12,809.89/17,677.09 = 9,451.49/x
  3. Step 3: Cross multiply
    12,809.89x = 17,677.09 × 9,451.49
  4. Step 4: Simplify right side
    12,809.89x = 167,074,839.36
  5. Step 5: Solve for x
    x = 167,074,839.36/12,809.89
  6. Step 6: Final answer
    x = 13,042.64

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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.