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Finding the Fourth Proportional to 21,500.10, 32,231.76 and 8,165.64

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Solution

The fourth proportional to 21,500.10, 32,231.76 and 8,165.64 is: 12,241.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,500.10 : 32,231.76 = 8,165.64 : x
  2. Step 2: Convert to fraction form
    21,500.10/32,231.76 = 8,165.64/x
  3. Step 3: Cross multiply
    21,500.10x = 32,231.76 × 8,165.64
  4. Step 4: Simplify right side
    21,500.10x = 263,193,038.97
  5. Step 5: Solve for x
    x = 263,193,038.97/21,500.10
  6. Step 6: Final answer
    x = 12,241.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.