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Finding the Fourth Proportional to 21,083.65, 31,621.89 and 7,042.09

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Solution

The fourth proportional to 21,083.65, 31,621.89 and 7,042.09 is: 10,561.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,083.65 : 31,621.89 = 7,042.09 : x
  2. Step 2: Convert to fraction form
    21,083.65/31,621.89 = 7,042.09/x
  3. Step 3: Cross multiply
    21,083.65x = 31,621.89 × 7,042.09
  4. Step 4: Simplify right side
    21,083.65x = 222,684,195.35
  5. Step 5: Solve for x
    x = 222,684,195.35/21,083.65
  6. Step 6: Final answer
    x = 10,561.94

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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.