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Finding the Fourth Proportional to 20,154.50, 30,231.94 and 7,674.64

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Solution

The fourth proportional to 20,154.50, 30,231.94 and 7,674.64 is: 11,512.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,154.50 : 30,231.94 = 7,674.64 : x
  2. Step 2: Convert to fraction form
    20,154.50/30,231.94 = 7,674.64/x
  3. Step 3: Cross multiply
    20,154.50x = 30,231.94 × 7,674.64
  4. Step 4: Simplify right side
    20,154.50x = 232,019,256.00
  5. Step 5: Solve for x
    x = 232,019,256.00/20,154.50
  6. Step 6: Final answer
    x = 11,512.03

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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.