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Finding the Fourth Proportional to 20,124.50, 30,158.67 and 17,147.48

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Solution

The fourth proportional to 20,124.50, 30,158.67 and 17,147.48 is: 25,697.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,124.50 : 30,158.67 = 17,147.48 : x
  2. Step 2: Convert to fraction form
    20,124.50/30,158.67 = 17,147.48/x
  3. Step 3: Cross multiply
    20,124.50x = 30,158.67 × 17,147.48
  4. Step 4: Simplify right side
    20,124.50x = 517,145,266.05
  5. Step 5: Solve for x
    x = 517,145,266.05/20,124.50
  6. Step 6: Final answer
    x = 25,697.29

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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.