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Finding the Fourth Proportional to 21,932.83, 32,905.07 and 6,940.21

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Solution

The fourth proportional to 21,932.83, 32,905.07 and 6,940.21 is: 10,412.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,932.83 : 32,905.07 = 6,940.21 : x
  2. Step 2: Convert to fraction form
    21,932.83/32,905.07 = 6,940.21/x
  3. Step 3: Cross multiply
    21,932.83x = 32,905.07 × 6,940.21
  4. Step 4: Simplify right side
    21,932.83x = 228,368,187.19
  5. Step 5: Solve for x
    x = 228,368,187.19/21,932.83
  6. Step 6: Final answer
    x = 10,412.16

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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.