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Finding the Fourth Proportional to 20,638.54, 30,914.94 and 10,076.68

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Solution

The fourth proportional to 20,638.54, 30,914.94 and 10,076.68 is: 15,094.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,638.54 : 30,914.94 = 10,076.68 : x
  2. Step 2: Convert to fraction form
    20,638.54/30,914.94 = 10,076.68/x
  3. Step 3: Cross multiply
    20,638.54x = 30,914.94 × 10,076.68
  4. Step 4: Simplify right side
    20,638.54x = 311,519,803.02
  5. Step 5: Solve for x
    x = 311,519,803.02/20,638.54
  6. Step 6: Final answer
    x = 15,094.09

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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.