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Finding the Fourth Proportional to 21,306.64, 31,959.94 and 5,724.27

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Solution

The fourth proportional to 21,306.64, 31,959.94 and 5,724.27 is: 8,586.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,306.64 : 31,959.94 = 5,724.27 : x
  2. Step 2: Convert to fraction form
    21,306.64/31,959.94 = 5,724.27/x
  3. Step 3: Cross multiply
    21,306.64x = 31,959.94 × 5,724.27
  4. Step 4: Simplify right side
    21,306.64x = 182,947,165.94
  5. Step 5: Solve for x
    x = 182,947,165.94/21,306.64
  6. Step 6: Final answer
    x = 8,586.39

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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.