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Finding the Fourth Proportional to 13,500.68, 18,630.96 and 7,450.78

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Solution

The fourth proportional to 13,500.68, 18,630.96 and 7,450.78 is: 10,282.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,500.68 : 18,630.96 = 7,450.78 : x
  2. Step 2: Convert to fraction form
    13,500.68/18,630.96 = 7,450.78/x
  3. Step 3: Cross multiply
    13,500.68x = 18,630.96 × 7,450.78
  4. Step 4: Simplify right side
    13,500.68x = 138,815,184.15
  5. Step 5: Solve for x
    x = 138,815,184.15/13,500.68
  6. Step 6: Final answer
    x = 10,282.09

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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.