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Finding the Fourth Proportional to 21,986.89, 32,984.96 and 7,194.66

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Solution

The fourth proportional to 21,986.89, 32,984.96 and 7,194.66 is: 10,793.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,986.89 : 32,984.96 = 7,194.66 : x
  2. Step 2: Convert to fraction form
    21,986.89/32,984.96 = 7,194.66/x
  3. Step 3: Cross multiply
    21,986.89x = 32,984.96 × 7,194.66
  4. Step 4: Simplify right side
    21,986.89x = 237,315,572.31
  5. Step 5: Solve for x
    x = 237,315,572.31/21,986.89
  6. Step 6: Final answer
    x = 10,793.50

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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.