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Finding the Fourth Proportional to 14,642.44, 21,942.65 and 8,322.36

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Solution

The fourth proportional to 14,642.44, 21,942.65 and 8,322.36 is: 12,471.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,642.44 : 21,942.65 = 8,322.36 : x
  2. Step 2: Convert to fraction form
    14,642.44/21,942.65 = 8,322.36/x
  3. Step 3: Cross multiply
    14,642.44x = 21,942.65 × 8,322.36
  4. Step 4: Simplify right side
    14,642.44x = 182,614,481.33
  5. Step 5: Solve for x
    x = 182,614,481.33/14,642.44
  6. Step 6: Final answer
    x = 12,471.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.