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Finding the Fourth Proportional to 20,814.53, 31,243.80 and 20,344.46

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Solution

The fourth proportional to 20,814.53, 31,243.80 and 20,344.46 is: 30,538.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,814.53 : 31,243.80 = 20,344.46 : x
  2. Step 2: Convert to fraction form
    20,814.53/31,243.80 = 20,344.46/x
  3. Step 3: Cross multiply
    20,814.53x = 31,243.80 × 20,344.46
  4. Step 4: Simplify right side
    20,814.53x = 635,638,239.35
  5. Step 5: Solve for x
    x = 635,638,239.35/20,814.53
  6. Step 6: Final answer
    x = 30,538.20

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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.