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Finding the Fourth Proportional to 20,164.86, 30,247.33 and 6,124.99

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Solution

The fourth proportional to 20,164.86, 30,247.33 and 6,124.99 is: 9,187.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,164.86 : 30,247.33 = 6,124.99 : x
  2. Step 2: Convert to fraction form
    20,164.86/30,247.33 = 6,124.99/x
  3. Step 3: Cross multiply
    20,164.86x = 30,247.33 × 6,124.99
  4. Step 4: Simplify right side
    20,164.86x = 185,264,593.78
  5. Step 5: Solve for x
    x = 185,264,593.78/20,164.86
  6. Step 6: Final answer
    x = 9,187.50

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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.