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Finding the Fourth Proportional to 21,649.41, 32,473.71 and 6,859.26

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Solution

The fourth proportional to 21,649.41, 32,473.71 and 6,859.26 is: 10,288.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,649.41 : 32,473.71 = 6,859.26 : x
  2. Step 2: Convert to fraction form
    21,649.41/32,473.71 = 6,859.26/x
  3. Step 3: Cross multiply
    21,649.41x = 32,473.71 × 6,859.26
  4. Step 4: Simplify right side
    21,649.41x = 222,745,620.05
  5. Step 5: Solve for x
    x = 222,745,620.05/21,649.41
  6. Step 6: Final answer
    x = 10,288.76

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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.