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Finding the Fourth Proportional to 21,072.94, 31,613.97 and 6,283.06

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Solution

The fourth proportional to 21,072.94, 31,613.97 and 6,283.06 is: 9,425.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,072.94 : 31,613.97 = 6,283.06 : x
  2. Step 2: Convert to fraction form
    21,072.94/31,613.97 = 6,283.06/x
  3. Step 3: Cross multiply
    21,072.94x = 31,613.97 × 6,283.06
  4. Step 4: Simplify right side
    21,072.94x = 198,632,470.35
  5. Step 5: Solve for x
    x = 198,632,470.35/21,072.94
  6. Step 6: Final answer
    x = 9,425.95

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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.