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Finding the Fourth Proportional to 22,526.70, 33,787.75 and 5,884.57

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Solution

The fourth proportional to 22,526.70, 33,787.75 and 5,884.57 is: 8,826.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,526.70 : 33,787.75 = 5,884.57 : x
  2. Step 2: Convert to fraction form
    22,526.70/33,787.75 = 5,884.57/x
  3. Step 3: Cross multiply
    22,526.70x = 33,787.75 × 5,884.57
  4. Step 4: Simplify right side
    22,526.70x = 198,826,380.02
  5. Step 5: Solve for x
    x = 198,826,380.02/22,526.70
  6. Step 6: Final answer
    x = 8,826.25

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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.