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Finding the Fourth Proportional to 13,343.75, 20,018.47 and 3,984.50

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Solution

The fourth proportional to 13,343.75, 20,018.47 and 3,984.50 is: 5,977.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,343.75 : 20,018.47 = 3,984.50 : x
  2. Step 2: Convert to fraction form
    13,343.75/20,018.47 = 3,984.50/x
  3. Step 3: Cross multiply
    13,343.75x = 20,018.47 × 3,984.50
  4. Step 4: Simplify right side
    13,343.75x = 79,763,493.62
  5. Step 5: Solve for x
    x = 79,763,493.62/13,343.75
  6. Step 6: Final answer
    x = 5,977.59

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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.