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Finding the Fourth Proportional to 22,049.36, 30,428.38 and 11,978.00

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Solution

The fourth proportional to 22,049.36, 30,428.38 and 11,978.00 is: 16,529.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,049.36 : 30,428.38 = 11,978.00 : x
  2. Step 2: Convert to fraction form
    22,049.36/30,428.38 = 11,978.00/x
  3. Step 3: Cross multiply
    22,049.36x = 30,428.38 × 11,978.00
  4. Step 4: Simplify right side
    22,049.36x = 364,471,231.84
  5. Step 5: Solve for x
    x = 364,471,231.84/22,049.36
  6. Step 6: Final answer
    x = 16,529.78

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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.