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Finding the Fourth Proportional to 21,023.75, 31,539.96 and 8,543.75

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Solution

The fourth proportional to 21,023.75, 31,539.96 and 8,543.75 is: 12,817.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,023.75 : 31,539.96 = 8,543.75 : x
  2. Step 2: Convert to fraction form
    21,023.75/31,539.96 = 8,543.75/x
  3. Step 3: Cross multiply
    21,023.75x = 31,539.96 × 8,543.75
  4. Step 4: Simplify right side
    21,023.75x = 269,469,490.53
  5. Step 5: Solve for x
    x = 269,469,490.53/21,023.75
  6. Step 6: Final answer
    x = 12,817.38

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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.