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Finding the Fourth Proportional to 23,912.82, 32,980.04 and 21,226

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Solution

The fourth proportional to 23,912.82, 32,980.04 and 21,226 is: 29,274.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,912.82 : 32,980.04 = 21,226 : x
  2. Step 2: Convert to fraction form
    23,912.82/32,980.04 = 21,226/x
  3. Step 3: Cross multiply
    23,912.82x = 32,980.04 × 21,226
  4. Step 4: Simplify right side
    23,912.82x = 700,034,329.04
  5. Step 5: Solve for x
    x = 700,034,329.04/23,912.82
  6. Step 6: Final answer
    x = 29,274.44

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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.