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Finding the Fourth Proportional to 20,293.86, 30,427.02 and 7,144.50

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Solution

The fourth proportional to 20,293.86, 30,427.02 and 7,144.50 is: 10,711.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,293.86 : 30,427.02 = 7,144.50 : x
  2. Step 2: Convert to fraction form
    20,293.86/30,427.02 = 7,144.50/x
  3. Step 3: Cross multiply
    20,293.86x = 30,427.02 × 7,144.50
  4. Step 4: Simplify right side
    20,293.86x = 217,385,844.39
  5. Step 5: Solve for x
    x = 217,385,844.39/20,293.86
  6. Step 6: Final answer
    x = 10,711.90

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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.