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Finding the Fourth Proportional to 20,766.76, 31,099.92 and 14,533

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Solution

The fourth proportional to 20,766.76, 31,099.92 and 14,533 is: 21,764.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,766.76 : 31,099.92 = 14,533 : x
  2. Step 2: Convert to fraction form
    20,766.76/31,099.92 = 14,533/x
  3. Step 3: Cross multiply
    20,766.76x = 31,099.92 × 14,533
  4. Step 4: Simplify right side
    20,766.76x = 451,975,137.36
  5. Step 5: Solve for x
    x = 451,975,137.36/20,766.76
  6. Step 6: Final answer
    x = 21,764.36

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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.