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Finding the Fourth Proportional to 20,522.94, 30,789.63 and 5,731.89

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Solution

The fourth proportional to 20,522.94, 30,789.63 and 5,731.89 is: 8,599.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,522.94 : 30,789.63 = 5,731.89 : x
  2. Step 2: Convert to fraction form
    20,522.94/30,789.63 = 5,731.89/x
  3. Step 3: Cross multiply
    20,522.94x = 30,789.63 × 5,731.89
  4. Step 4: Simplify right side
    20,522.94x = 176,482,772.30
  5. Step 5: Solve for x
    x = 176,482,772.30/20,522.94
  6. Step 6: Final answer
    x = 8,599.29

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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.