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Finding the Fourth Proportional to 12,661.84, 17,474.12 and 6,996.56

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Solution

The fourth proportional to 12,661.84, 17,474.12 and 6,996.56 is: 9,655.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,661.84 : 17,474.12 = 6,996.56 : x
  2. Step 2: Convert to fraction form
    12,661.84/17,474.12 = 6,996.56/x
  3. Step 3: Cross multiply
    12,661.84x = 17,474.12 × 6,996.56
  4. Step 4: Simplify right side
    12,661.84x = 122,258,729.03
  5. Step 5: Solve for x
    x = 122,258,729.03/12,661.84
  6. Step 6: Final answer
    x = 9,655.68

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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.