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Finding the Fourth Proportional to 17,913, 26,738 and 16,593.50

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Solution

The fourth proportional to 17,913, 26,738 and 16,593.50 is: 24,768.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,913 : 26,738 = 16,593.50 : x
  2. Step 2: Convert to fraction form
    17,913/26,738 = 16,593.50/x
  3. Step 3: Cross multiply
    17,913x = 26,738 × 16,593.50
  4. Step 4: Simplify right side
    17,913x = 443,677,003
  5. Step 5: Solve for x
    x = 443,677,003/17,913
  6. Step 6: Final answer
    x = 24,768.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.