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Finding the Fourth Proportional to 21,205.14, 31,792.59 and 8,046.42

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Solution

The fourth proportional to 21,205.14, 31,792.59 and 8,046.42 is: 12,063.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,205.14 : 31,792.59 = 8,046.42 : x
  2. Step 2: Convert to fraction form
    21,205.14/31,792.59 = 8,046.42/x
  3. Step 3: Cross multiply
    21,205.14x = 31,792.59 × 8,046.42
  4. Step 4: Simplify right side
    21,205.14x = 255,816,532.03
  5. Step 5: Solve for x
    x = 255,816,532.03/21,205.14
  6. Step 6: Final answer
    x = 12,063.89

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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.