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Finding the Fourth Proportional to 12,049.31, 16,628.13 and 7,016.46

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Solution

The fourth proportional to 12,049.31, 16,628.13 and 7,016.46 is: 9,682.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,049.31 : 16,628.13 = 7,016.46 : x
  2. Step 2: Convert to fraction form
    12,049.31/16,628.13 = 7,016.46/x
  3. Step 3: Cross multiply
    12,049.31x = 16,628.13 × 7,016.46
  4. Step 4: Simplify right side
    12,049.31x = 116,670,620.46
  5. Step 5: Solve for x
    x = 116,670,620.46/12,049.31
  6. Step 6: Final answer
    x = 9,682.77

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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.