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Finding the Fourth Proportional to 20,871.69, 31,311.63 and 7,724.17

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Solution

The fourth proportional to 20,871.69, 31,311.63 and 7,724.17 is: 11,587.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,871.69 : 31,311.63 = 7,724.17 : x
  2. Step 2: Convert to fraction form
    20,871.69/31,311.63 = 7,724.17/x
  3. Step 3: Cross multiply
    20,871.69x = 31,311.63 × 7,724.17
  4. Step 4: Simplify right side
    20,871.69x = 241,856,392.24
  5. Step 5: Solve for x
    x = 241,856,392.24/20,871.69
  6. Step 6: Final answer
    x = 11,587.77

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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.