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Finding the Fourth Proportional to 13,172.50, 18,178.50 and 7,508.09

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Solution

The fourth proportional to 13,172.50, 18,178.50 and 7,508.09 is: 10,361.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,172.50 : 18,178.50 = 7,508.09 : x
  2. Step 2: Convert to fraction form
    13,172.50/18,178.50 = 7,508.09/x
  3. Step 3: Cross multiply
    13,172.50x = 18,178.50 × 7,508.09
  4. Step 4: Simplify right side
    13,172.50x = 136,485,866.55
  5. Step 5: Solve for x
    x = 136,485,866.55/13,172.50
  6. Step 6: Final answer
    x = 10,361.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.