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Finding the Fourth Proportional to 20,002.50, 30,004.29 and 6,151.50

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Solution

The fourth proportional to 20,002.50, 30,004.29 and 6,151.50 is: 9,227.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,002.50 : 30,004.29 = 6,151.50 : x
  2. Step 2: Convert to fraction form
    20,002.50/30,004.29 = 6,151.50/x
  3. Step 3: Cross multiply
    20,002.50x = 30,004.29 × 6,151.50
  4. Step 4: Simplify right side
    20,002.50x = 184,571,389.94
  5. Step 5: Solve for x
    x = 184,571,389.94/20,002.50
  6. Step 6: Final answer
    x = 9,227.42

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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.