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Finding the Fourth Proportional to 21,969.01, 32,958.38 and 12,103.21

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Solution

The fourth proportional to 21,969.01, 32,958.38 and 12,103.21 is: 18,157.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,969.01 : 32,958.38 = 12,103.21 : x
  2. Step 2: Convert to fraction form
    21,969.01/32,958.38 = 12,103.21/x
  3. Step 3: Cross multiply
    21,969.01x = 32,958.38 × 12,103.21
  4. Step 4: Simplify right side
    21,969.01x = 398,902,194.40
  5. Step 5: Solve for x
    x = 398,902,194.40/21,969.01
  6. Step 6: Final answer
    x = 18,157.50

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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.