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Finding the Fourth Proportional to 12,161.26, 18,269.43 and 10,500.49

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Solution

The fourth proportional to 12,161.26, 18,269.43 and 10,500.49 is: 15,774.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,161.26 : 18,269.43 = 10,500.49 : x
  2. Step 2: Convert to fraction form
    12,161.26/18,269.43 = 10,500.49/x
  3. Step 3: Cross multiply
    12,161.26x = 18,269.43 × 10,500.49
  4. Step 4: Simplify right side
    12,161.26x = 191,837,967.02
  5. Step 5: Solve for x
    x = 191,837,967.02/12,161.26
  6. Step 6: Final answer
    x = 15,774.51

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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.