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Finding the Fourth Proportional to 20,522.97, 30,783.34 and 8,045.22

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Solution

The fourth proportional to 20,522.97, 30,783.34 and 8,045.22 is: 12,067.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,522.97 : 30,783.34 = 8,045.22 : x
  2. Step 2: Convert to fraction form
    20,522.97/30,783.34 = 8,045.22/x
  3. Step 3: Cross multiply
    20,522.97x = 30,783.34 × 8,045.22
  4. Step 4: Simplify right side
    20,522.97x = 247,658,868.13
  5. Step 5: Solve for x
    x = 247,658,868.13/20,522.97
  6. Step 6: Final answer
    x = 12,067.40

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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.