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Finding the Fourth Proportional to 17,647.85, 24,350.91 and 11,677.34

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Solution

The fourth proportional to 17,647.85, 24,350.91 and 11,677.34 is: 16,112.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,647.85 : 24,350.91 = 11,677.34 : x
  2. Step 2: Convert to fraction form
    17,647.85/24,350.91 = 11,677.34/x
  3. Step 3: Cross multiply
    17,647.85x = 24,350.91 × 11,677.34
  4. Step 4: Simplify right side
    17,647.85x = 284,353,855.38
  5. Step 5: Solve for x
    x = 284,353,855.38/17,647.85
  6. Step 6: Final answer
    x = 16,112.66

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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.