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Finding the Fourth Proportional to 13,814.40, 20,737.80 and 8,272.80

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Solution

The fourth proportional to 13,814.40, 20,737.80 and 8,272.80 is: 12,418.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,814.40 : 20,737.80 = 8,272.80 : x
  2. Step 2: Convert to fraction form
    13,814.40/20,737.80 = 8,272.80/x
  3. Step 3: Cross multiply
    13,814.40x = 20,737.80 × 8,272.80
  4. Step 4: Simplify right side
    13,814.40x = 171,559,671.84
  5. Step 5: Solve for x
    x = 171,559,671.84/13,814.40
  6. Step 6: Final answer
    x = 12,418.90

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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.