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Finding the Fourth Proportional to 12,054.31, 16,635.89 and 6,951.47

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Solution

The fourth proportional to 12,054.31, 16,635.89 and 6,951.47 is: 9,593.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,054.31 : 16,635.89 = 6,951.47 : x
  2. Step 2: Convert to fraction form
    12,054.31/16,635.89 = 6,951.47/x
  3. Step 3: Cross multiply
    12,054.31x = 16,635.89 × 6,951.47
  4. Step 4: Simplify right side
    12,054.31x = 115,643,799.37
  5. Step 5: Solve for x
    x = 115,643,799.37/12,054.31
  6. Step 6: Final answer
    x = 9,593.56

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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.