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Finding the Fourth Proportional to 20,415.75, 30,627.57 and 7,089.23

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Solution

The fourth proportional to 20,415.75, 30,627.57 and 7,089.23 is: 10,635.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,415.75 : 30,627.57 = 7,089.23 : x
  2. Step 2: Convert to fraction form
    20,415.75/30,627.57 = 7,089.23/x
  3. Step 3: Cross multiply
    20,415.75x = 30,627.57 × 7,089.23
  4. Step 4: Simplify right side
    20,415.75x = 217,125,734.93
  5. Step 5: Solve for x
    x = 217,125,734.93/20,415.75
  6. Step 6: Final answer
    x = 10,635.21

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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.