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Finding the Fourth Proportional to 20,627.51, 30,942.33 and 7,977.24

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Solution

The fourth proportional to 20,627.51, 30,942.33 and 7,977.24 is: 11,966.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,627.51 : 30,942.33 = 7,977.24 : x
  2. Step 2: Convert to fraction form
    20,627.51/30,942.33 = 7,977.24/x
  3. Step 3: Cross multiply
    20,627.51x = 30,942.33 × 7,977.24
  4. Step 4: Simplify right side
    20,627.51x = 246,834,392.57
  5. Step 5: Solve for x
    x = 246,834,392.57/20,627.51
  6. Step 6: Final answer
    x = 11,966.27

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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.