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Finding the Fourth Proportional to 20,089, 30,133.50 and 7,777

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Solution

The fourth proportional to 20,089, 30,133.50 and 7,777 is: 11,665.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,089 : 30,133.50 = 7,777 : x
  2. Step 2: Convert to fraction form
    20,089/30,133.50 = 7,777/x
  3. Step 3: Cross multiply
    20,089x = 30,133.50 × 7,777
  4. Step 4: Simplify right side
    20,089x = 234,348,229.50
  5. Step 5: Solve for x
    x = 234,348,229.50/20,089
  6. Step 6: Final answer
    x = 11,665.50

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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.