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Finding the Fourth Proportional to 16,346.44, 22,558.26 and 8,894.44

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Solution

The fourth proportional to 16,346.44, 22,558.26 and 8,894.44 is: 12,274.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,346.44 : 22,558.26 = 8,894.44 : x
  2. Step 2: Convert to fraction form
    16,346.44/22,558.26 = 8,894.44/x
  3. Step 3: Cross multiply
    16,346.44x = 22,558.26 × 8,894.44
  4. Step 4: Simplify right side
    16,346.44x = 200,643,090.07
  5. Step 5: Solve for x
    x = 200,643,090.07/16,346.44
  6. Step 6: Final answer
    x = 12,274.42

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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.