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Finding the Fourth Proportional to 21,732.82, 32,606.46 and 6,943.84

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Solution

The fourth proportional to 21,732.82, 32,606.46 and 6,943.84 is: 10,418.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,732.82 : 32,606.46 = 6,943.84 : x
  2. Step 2: Convert to fraction form
    21,732.82/32,606.46 = 6,943.84/x
  3. Step 3: Cross multiply
    21,732.82x = 32,606.46 × 6,943.84
  4. Step 4: Simplify right side
    21,732.82x = 226,414,041.21
  5. Step 5: Solve for x
    x = 226,414,041.21/21,732.82
  6. Step 6: Final answer
    x = 10,418.07

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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.