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Finding the Fourth Proportional to 21,471.12, 32,202.96 and 5,676.32

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Solution

The fourth proportional to 21,471.12, 32,202.96 and 5,676.32 is: 8,513.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,471.12 : 32,202.96 = 5,676.32 : x
  2. Step 2: Convert to fraction form
    21,471.12/32,202.96 = 5,676.32/x
  3. Step 3: Cross multiply
    21,471.12x = 32,202.96 × 5,676.32
  4. Step 4: Simplify right side
    21,471.12x = 182,794,305.91
  5. Step 5: Solve for x
    x = 182,794,305.91/21,471.12
  6. Step 6: Final answer
    x = 8,513.50

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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.