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Finding the Fourth Proportional to 21,274.79, 31,912.25 and 6,483.65

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Solution

The fourth proportional to 21,274.79, 31,912.25 and 6,483.65 is: 9,725.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,274.79 : 31,912.25 = 6,483.65 : x
  2. Step 2: Convert to fraction form
    21,274.79/31,912.25 = 6,483.65/x
  3. Step 3: Cross multiply
    21,274.79x = 31,912.25 × 6,483.65
  4. Step 4: Simplify right side
    21,274.79x = 206,907,667.73
  5. Step 5: Solve for x
    x = 206,907,667.73/21,274.79
  6. Step 6: Final answer
    x = 9,725.49

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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.