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Finding the Fourth Proportional to 20,114.90, 30,173.16 and 9,579.50

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Solution

The fourth proportional to 20,114.90, 30,173.16 and 9,579.50 is: 14,369.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,114.90 : 30,173.16 = 9,579.50 : x
  2. Step 2: Convert to fraction form
    20,114.90/30,173.16 = 9,579.50/x
  3. Step 3: Cross multiply
    20,114.90x = 30,173.16 × 9,579.50
  4. Step 4: Simplify right side
    20,114.90x = 289,043,786.22
  5. Step 5: Solve for x
    x = 289,043,786.22/20,114.90
  6. Step 6: Final answer
    x = 14,369.64

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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.