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Finding the Fourth Proportional to 21,057.54, 31,628.22 and 13,174.01

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Solution

The fourth proportional to 21,057.54, 31,628.22 and 13,174.01 is: 19,787.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,057.54 : 31,628.22 = 13,174.01 : x
  2. Step 2: Convert to fraction form
    21,057.54/31,628.22 = 13,174.01/x
  3. Step 3: Cross multiply
    21,057.54x = 31,628.22 × 13,174.01
  4. Step 4: Simplify right side
    21,057.54x = 416,670,471.73
  5. Step 5: Solve for x
    x = 416,670,471.73/21,057.54
  6. Step 6: Final answer
    x = 19,787.24

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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.