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Finding the Fourth Proportional to 21,229.74, 31,840.41 and 6,435.18

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Solution

The fourth proportional to 21,229.74, 31,840.41 and 6,435.18 is: 9,651.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,229.74 : 31,840.41 = 6,435.18 : x
  2. Step 2: Convert to fraction form
    21,229.74/31,840.41 = 6,435.18/x
  3. Step 3: Cross multiply
    21,229.74x = 31,840.41 × 6,435.18
  4. Step 4: Simplify right side
    21,229.74x = 204,898,769.62
  5. Step 5: Solve for x
    x = 204,898,769.62/21,229.74
  6. Step 6: Final answer
    x = 9,651.50

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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.