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Finding the Fourth Proportional to 22,622.10, 33,933.16 and 7,822.95

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Solution

The fourth proportional to 22,622.10, 33,933.16 and 7,822.95 is: 11,734.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,622.10 : 33,933.16 = 7,822.95 : x
  2. Step 2: Convert to fraction form
    22,622.10/33,933.16 = 7,822.95/x
  3. Step 3: Cross multiply
    22,622.10x = 33,933.16 × 7,822.95
  4. Step 4: Simplify right side
    22,622.10x = 265,457,296.55
  5. Step 5: Solve for x
    x = 265,457,296.55/22,622.10
  6. Step 6: Final answer
    x = 11,734.42

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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.