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Finding the Fourth Proportional to 21,211.57, 31,817.81 and 6,420.47

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Solution

The fourth proportional to 21,211.57, 31,817.81 and 6,420.47 is: 9,630.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,211.57 : 31,817.81 = 6,420.47 : x
  2. Step 2: Convert to fraction form
    21,211.57/31,817.81 = 6,420.47/x
  3. Step 3: Cross multiply
    21,211.57x = 31,817.81 × 6,420.47
  4. Step 4: Simplify right side
    21,211.57x = 204,285,151.53
  5. Step 5: Solve for x
    x = 204,285,151.53/21,211.57
  6. Step 6: Final answer
    x = 9,630.84

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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.