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Finding the Fourth Proportional to 21,274.56, 31,902.24 and 6,485.28

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Solution

The fourth proportional to 21,274.56, 31,902.24 and 6,485.28 is: 9,724.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,274.56 : 31,902.24 = 6,485.28 : x
  2. Step 2: Convert to fraction form
    21,274.56/31,902.24 = 6,485.28/x
  3. Step 3: Cross multiply
    21,274.56x = 31,902.24 × 6,485.28
  4. Step 4: Simplify right side
    21,274.56x = 206,894,959.03
  5. Step 5: Solve for x
    x = 206,894,959.03/21,274.56
  6. Step 6: Final answer
    x = 9,724.99

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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.