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Finding the Fourth Proportional to 22,205.06, 33,313.62 and 9,726.20

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Solution

The fourth proportional to 22,205.06, 33,313.62 and 9,726.20 is: 14,591.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,205.06 : 33,313.62 = 9,726.20 : x
  2. Step 2: Convert to fraction form
    22,205.06/33,313.62 = 9,726.20/x
  3. Step 3: Cross multiply
    22,205.06x = 33,313.62 × 9,726.20
  4. Step 4: Simplify right side
    22,205.06x = 324,014,930.84
  5. Step 5: Solve for x
    x = 324,014,930.84/22,205.06
  6. Step 6: Final answer
    x = 14,591.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.