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Finding the Fourth Proportional to 20,764.26, 31,096.17 and 14,530.50

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Solution

The fourth proportional to 20,764.26, 31,096.17 and 14,530.50 is: 21,760.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,764.26 : 31,096.17 = 14,530.50 : x
  2. Step 2: Convert to fraction form
    20,764.26/31,096.17 = 14,530.50/x
  3. Step 3: Cross multiply
    20,764.26x = 31,096.17 × 14,530.50
  4. Step 4: Simplify right side
    20,764.26x = 451,842,898.19
  5. Step 5: Solve for x
    x = 451,842,898.19/20,764.26
  6. Step 6: Final answer
    x = 21,760.61

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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.