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Finding the Fourth Proportional to 12,807.89, 17,674.34 and 9,449.49

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Solution

The fourth proportional to 12,807.89, 17,674.34 and 9,449.49 is: 13,039.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,807.89 : 17,674.34 = 9,449.49 : x
  2. Step 2: Convert to fraction form
    12,807.89/17,674.34 = 9,449.49/x
  3. Step 3: Cross multiply
    12,807.89x = 17,674.34 × 9,449.49
  4. Step 4: Simplify right side
    12,807.89x = 167,013,451.84
  5. Step 5: Solve for x
    x = 167,013,451.84/12,807.89
  6. Step 6: Final answer
    x = 13,039.89

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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.