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Finding the Fourth Proportional to 21,466.80, 32,204.76 and 6,474.38

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Solution

The fourth proportional to 21,466.80, 32,204.76 and 6,474.38 is: 9,712.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,466.80 : 32,204.76 = 6,474.38 : x
  2. Step 2: Convert to fraction form
    21,466.80/32,204.76 = 6,474.38/x
  3. Step 3: Cross multiply
    21,466.80x = 32,204.76 × 6,474.38
  4. Step 4: Simplify right side
    21,466.80x = 208,505,773.54
  5. Step 5: Solve for x
    x = 208,505,773.54/21,466.80
  6. Step 6: Final answer
    x = 9,712.94

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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.