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Finding the Fourth Proportional to 18,777, 28,165.50 and 4,926

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Solution

The fourth proportional to 18,777, 28,165.50 and 4,926 is: 7,389

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,777 : 28,165.50 = 4,926 : x
  2. Step 2: Convert to fraction form
    18,777/28,165.50 = 4,926/x
  3. Step 3: Cross multiply
    18,777x = 28,165.50 × 4,926
  4. Step 4: Simplify right side
    18,777x = 138,743,253
  5. Step 5: Solve for x
    x = 138,743,253/18,777
  6. Step 6: Final answer
    x = 7,389

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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.