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Finding the Fourth Proportional to 21,463.34, 32,194.85 and 6,672.23

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Solution

The fourth proportional to 21,463.34, 32,194.85 and 6,672.23 is: 10,008.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,463.34 : 32,194.85 = 6,672.23 : x
  2. Step 2: Convert to fraction form
    21,463.34/32,194.85 = 6,672.23/x
  3. Step 3: Cross multiply
    21,463.34x = 32,194.85 × 6,672.23
  4. Step 4: Simplify right side
    21,463.34x = 214,811,249.68
  5. Step 5: Solve for x
    x = 214,811,249.68/21,463.34
  6. Step 6: Final answer
    x = 10,008.29

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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.