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Finding the Fourth Proportional to 21,131.28, 31,673.03 and 10,022.54

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Solution

The fourth proportional to 21,131.28, 31,673.03 and 10,022.54 is: 15,022.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,131.28 : 31,673.03 = 10,022.54 : x
  2. Step 2: Convert to fraction form
    21,131.28/31,673.03 = 10,022.54/x
  3. Step 3: Cross multiply
    21,131.28x = 31,673.03 × 10,022.54
  4. Step 4: Simplify right side
    21,131.28x = 317,444,001.62
  5. Step 5: Solve for x
    x = 317,444,001.62/21,131.28
  6. Step 6: Final answer
    x = 15,022.47

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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.