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Finding the Fourth Proportional to 13,100.67, 19,647.77 and 8,167.77

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Solution

The fourth proportional to 13,100.67, 19,647.77 and 8,167.77 is: 12,249.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,100.67 : 19,647.77 = 8,167.77 : x
  2. Step 2: Convert to fraction form
    13,100.67/19,647.77 = 8,167.77/x
  3. Step 3: Cross multiply
    13,100.67x = 19,647.77 × 8,167.77
  4. Step 4: Simplify right side
    13,100.67x = 160,478,425.53
  5. Step 5: Solve for x
    x = 160,478,425.53/13,100.67
  6. Step 6: Final answer
    x = 12,249.63

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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.