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Finding the Fourth Proportional to 21,974.01, 32,958.40 and 5,744.04

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Solution

The fourth proportional to 21,974.01, 32,958.40 and 5,744.04 is: 8,615.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,974.01 : 32,958.40 = 5,744.04 : x
  2. Step 2: Convert to fraction form
    21,974.01/32,958.40 = 5,744.04/x
  3. Step 3: Cross multiply
    21,974.01x = 32,958.40 × 5,744.04
  4. Step 4: Simplify right side
    21,974.01x = 189,314,271.18
  5. Step 5: Solve for x
    x = 189,314,271.18/21,974.01
  6. Step 6: Final answer
    x = 8,615.37

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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.