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Finding the Fourth Proportional to 16,961.61, 23,408.61 and 9,791.76

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Solution

The fourth proportional to 16,961.61, 23,408.61 and 9,791.76 is: 13,513.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,961.61 : 23,408.61 = 9,791.76 : x
  2. Step 2: Convert to fraction form
    16,961.61/23,408.61 = 9,791.76/x
  3. Step 3: Cross multiply
    16,961.61x = 23,408.61 × 9,791.76
  4. Step 4: Simplify right side
    16,961.61x = 229,211,442.09
  5. Step 5: Solve for x
    x = 229,211,442.09/16,961.61
  6. Step 6: Final answer
    x = 13,513.54

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1.5x scale

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.