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Finding the Fourth Proportional to 21,511.72, 32,261.70 and 6,520.48

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Solution

The fourth proportional to 21,511.72, 32,261.70 and 6,520.48 is: 9,778.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,511.72 : 32,261.70 = 6,520.48 : x
  2. Step 2: Convert to fraction form
    21,511.72/32,261.70 = 6,520.48/x
  3. Step 3: Cross multiply
    21,511.72x = 32,261.70 × 6,520.48
  4. Step 4: Simplify right side
    21,511.72x = 210,361,769.62
  5. Step 5: Solve for x
    x = 210,361,769.62/21,511.72
  6. Step 6: Final answer
    x = 9,778.94

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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.