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Finding the Fourth Proportional to 22,194.66, 33,292.74 and 9,708.30

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Solution

The fourth proportional to 22,194.66, 33,292.74 and 9,708.30 is: 14,562.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,194.66 : 33,292.74 = 9,708.30 : x
  2. Step 2: Convert to fraction form
    22,194.66/33,292.74 = 9,708.30/x
  3. Step 3: Cross multiply
    22,194.66x = 33,292.74 × 9,708.30
  4. Step 4: Simplify right side
    22,194.66x = 323,215,907.74
  5. Step 5: Solve for x
    x = 323,215,907.74/22,194.66
  6. Step 6: Final answer
    x = 14,562.78

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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.