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Finding the Fourth Proportional to 20,984.57, 31,591.74 and 19,147.49

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Solution

The fourth proportional to 20,984.57, 31,591.74 and 19,147.49 is: 28,826.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,984.57 : 31,591.74 = 19,147.49 : x
  2. Step 2: Convert to fraction form
    20,984.57/31,591.74 = 19,147.49/x
  3. Step 3: Cross multiply
    20,984.57x = 31,591.74 × 19,147.49
  4. Step 4: Simplify right side
    20,984.57x = 604,902,450.34
  5. Step 5: Solve for x
    x = 604,902,450.34/20,984.57
  6. Step 6: Final answer
    x = 28,826.06

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.