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Finding the Fourth Proportional to 21,932.19, 32,893.53 and 6,940.49

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Solution

The fourth proportional to 21,932.19, 32,893.53 and 6,940.49 is: 10,409.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,932.19 : 32,893.53 = 6,940.49 : x
  2. Step 2: Convert to fraction form
    21,932.19/32,893.53 = 6,940.49/x
  3. Step 3: Cross multiply
    21,932.19x = 32,893.53 × 6,940.49
  4. Step 4: Simplify right side
    21,932.19x = 228,297,051.56
  5. Step 5: Solve for x
    x = 228,297,051.56/21,932.19
  6. Step 6: Final answer
    x = 10,409.22

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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.