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Finding the Fourth Proportional to 16,961.10, 23,407.75 and 9,409.85

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Solution

The fourth proportional to 16,961.10, 23,407.75 and 9,409.85 is: 12,986.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,961.10 : 23,407.75 = 9,409.85 : x
  2. Step 2: Convert to fraction form
    16,961.10/23,407.75 = 9,409.85/x
  3. Step 3: Cross multiply
    16,961.10x = 23,407.75 × 9,409.85
  4. Step 4: Simplify right side
    16,961.10x = 220,263,477.58
  5. Step 5: Solve for x
    x = 220,263,477.58/16,961.10
  6. Step 6: Final answer
    x = 12,986.39

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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.