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Finding the Fourth Proportional to 21,461.67, 32,189.77 and 8,305.04

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Solution

The fourth proportional to 21,461.67, 32,189.77 and 8,305.04 is: 12,456.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,461.67 : 32,189.77 = 8,305.04 : x
  2. Step 2: Convert to fraction form
    21,461.67/32,189.77 = 8,305.04/x
  3. Step 3: Cross multiply
    21,461.67x = 32,189.77 × 8,305.04
  4. Step 4: Simplify right side
    21,461.67x = 267,337,327.44
  5. Step 5: Solve for x
    x = 267,337,327.44/21,461.67
  6. Step 6: Final answer
    x = 12,456.50

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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.