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Finding the Fourth Proportional to 16,114.92, 22,231.92 and 9,826.60

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Solution

The fourth proportional to 16,114.92, 22,231.92 and 9,826.60 is: 13,556.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,114.92 : 22,231.92 = 9,826.60 : x
  2. Step 2: Convert to fraction form
    16,114.92/22,231.92 = 9,826.60/x
  3. Step 3: Cross multiply
    16,114.92x = 22,231.92 × 9,826.60
  4. Step 4: Simplify right side
    16,114.92x = 218,464,185.07
  5. Step 5: Solve for x
    x = 218,464,185.07/16,114.92
  6. Step 6: Final answer
    x = 13,556.64

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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.