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Finding the Fourth Proportional to 21,564.56, 32,346.84 and 5,982.19

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Solution

The fourth proportional to 21,564.56, 32,346.84 and 5,982.19 is: 8,973.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,564.56 : 32,346.84 = 5,982.19 : x
  2. Step 2: Convert to fraction form
    21,564.56/32,346.84 = 5,982.19/x
  3. Step 3: Cross multiply
    21,564.56x = 32,346.84 × 5,982.19
  4. Step 4: Simplify right side
    21,564.56x = 193,504,884.35
  5. Step 5: Solve for x
    x = 193,504,884.35/21,564.56
  6. Step 6: Final answer
    x = 8,973.28

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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.