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Finding the Fourth Proportional to 12,627.75, 17,433.77 and 11,226.63

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Solution

The fourth proportional to 12,627.75, 17,433.77 and 11,226.63 is: 15,499.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,627.75 : 17,433.77 = 11,226.63 : x
  2. Step 2: Convert to fraction form
    12,627.75/17,433.77 = 11,226.63/x
  3. Step 3: Cross multiply
    12,627.75x = 17,433.77 × 11,226.63
  4. Step 4: Simplify right side
    12,627.75x = 195,722,341.99
  5. Step 5: Solve for x
    x = 195,722,341.99/12,627.75
  6. Step 6: Final answer
    x = 15,499.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.