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Finding the Fourth Proportional to 21,224.34, 31,680.71 and 19,660.50

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Solution

The fourth proportional to 21,224.34, 31,680.71 and 19,660.50 is: 29,346.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,224.34 : 31,680.71 = 19,660.50 : x
  2. Step 2: Convert to fraction form
    21,224.34/31,680.71 = 19,660.50/x
  3. Step 3: Cross multiply
    21,224.34x = 31,680.71 × 19,660.50
  4. Step 4: Simplify right side
    21,224.34x = 622,858,500.65
  5. Step 5: Solve for x
    x = 622,858,500.65/21,224.34
  6. Step 6: Final answer
    x = 29,346.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.