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Finding the Fourth Proportional to 12,661.56, 17,472.84 and 6,996.68

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Solution

The fourth proportional to 12,661.56, 17,472.84 and 6,996.68 is: 9,655.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,661.56 : 17,472.84 = 6,996.68 : x
  2. Step 2: Convert to fraction form
    12,661.56/17,472.84 = 6,996.68/x
  3. Step 3: Cross multiply
    12,661.56x = 17,472.84 × 6,996.68
  4. Step 4: Simplify right side
    12,661.56x = 122,251,870.17
  5. Step 5: Solve for x
    x = 122,251,870.17/12,661.56
  6. Step 6: Final answer
    x = 9,655.36

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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.