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Finding the Fourth Proportional to 22,526.46, 33,787.80 and 6,944.22

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Solution

The fourth proportional to 22,526.46, 33,787.80 and 6,944.22 is: 10,415.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,526.46 : 33,787.80 = 6,944.22 : x
  2. Step 2: Convert to fraction form
    22,526.46/33,787.80 = 6,944.22/x
  3. Step 3: Cross multiply
    22,526.46x = 33,787.80 × 6,944.22
  4. Step 4: Simplify right side
    22,526.46x = 234,629,916.52
  5. Step 5: Solve for x
    x = 234,629,916.52/22,526.46
  6. Step 6: Final answer
    x = 10,415.75

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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.