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Finding the Fourth Proportional to 21,283.48, 31,923.78 and 8,137.18

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Solution

The fourth proportional to 21,283.48, 31,923.78 and 8,137.18 is: 12,205.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,283.48 : 31,923.78 = 8,137.18 : x
  2. Step 2: Convert to fraction form
    21,283.48/31,923.78 = 8,137.18/x
  3. Step 3: Cross multiply
    21,283.48x = 31,923.78 × 8,137.18
  4. Step 4: Simplify right side
    21,283.48x = 259,769,544.14
  5. Step 5: Solve for x
    x = 259,769,544.14/21,283.48
  6. Step 6: Final answer
    x = 12,205.22

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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.