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Finding the Fourth Proportional to 20,438.22, 30,636 and 13,864.80

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Solution

The fourth proportional to 20,438.22, 30,636 and 13,864.80 is: 20,782.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,438.22 : 30,636 = 13,864.80 : x
  2. Step 2: Convert to fraction form
    20,438.22/30,636 = 13,864.80/x
  3. Step 3: Cross multiply
    20,438.22x = 30,636 × 13,864.80
  4. Step 4: Simplify right side
    20,438.22x = 424,762,012.80
  5. Step 5: Solve for x
    x = 424,762,012.80/20,438.22
  6. Step 6: Final answer
    x = 20,782.73

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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.