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Finding the Fourth Proportional to 20,096.68, 30,133.74 and 9,014.02

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Solution

The fourth proportional to 20,096.68, 30,133.74 and 9,014.02 is: 13,515.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,096.68 : 30,133.74 = 9,014.02 : x
  2. Step 2: Convert to fraction form
    20,096.68/30,133.74 = 9,014.02/x
  3. Step 3: Cross multiply
    20,096.68x = 30,133.74 × 9,014.02
  4. Step 4: Simplify right side
    20,096.68x = 271,626,135.03
  5. Step 5: Solve for x
    x = 271,626,135.03/20,096.68
  6. Step 6: Final answer
    x = 13,515.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.