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Finding the Fourth Proportional to 21,072.36, 31,608.85 and 7,033.04

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Solution

The fourth proportional to 21,072.36, 31,608.85 and 7,033.04 is: 10,549.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,072.36 : 31,608.85 = 7,033.04 : x
  2. Step 2: Convert to fraction form
    21,072.36/31,608.85 = 7,033.04/x
  3. Step 3: Cross multiply
    21,072.36x = 31,608.85 × 7,033.04
  4. Step 4: Simplify right side
    21,072.36x = 222,306,262.50
  5. Step 5: Solve for x
    x = 222,306,262.50/21,072.36
  6. Step 6: Final answer
    x = 10,549.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.