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Finding the Fourth Proportional to 21,205.14, 31,817.97 and 8,728.98

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Solution

The fourth proportional to 21,205.14, 31,817.97 and 8,728.98 is: 13,097.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,205.14 : 31,817.97 = 8,728.98 : x
  2. Step 2: Convert to fraction form
    21,205.14/31,817.97 = 8,728.98/x
  3. Step 3: Cross multiply
    21,205.14x = 31,817.97 × 8,728.98
  4. Step 4: Simplify right side
    21,205.14x = 277,738,423.77
  5. Step 5: Solve for x
    x = 277,738,423.77/21,205.14
  6. Step 6: Final answer
    x = 13,097.69

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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.