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Finding the Fourth Proportional to 21,428.82, 32,164.01 and 10,343.31

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Solution

The fourth proportional to 21,428.82, 32,164.01 and 10,343.31 is: 15,525.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,428.82 : 32,164.01 = 10,343.31 : x
  2. Step 2: Convert to fraction form
    21,428.82/32,164.01 = 10,343.31/x
  3. Step 3: Cross multiply
    21,428.82x = 32,164.01 × 10,343.31
  4. Step 4: Simplify right side
    21,428.82x = 332,682,326.27
  5. Step 5: Solve for x
    x = 332,682,326.27/21,428.82
  6. Step 6: Final answer
    x = 15,525.00

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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.