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Finding the Fourth Proportional to 12,322.98, 18,500.81 and 7,334.60

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Solution

The fourth proportional to 12,322.98, 18,500.81 and 7,334.60 is: 11,011.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322.98 : 18,500.81 = 7,334.60 : x
  2. Step 2: Convert to fraction form
    12,322.98/18,500.81 = 7,334.60/x
  3. Step 3: Cross multiply
    12,322.98x = 18,500.81 × 7,334.60
  4. Step 4: Simplify right side
    12,322.98x = 135,695,911.85
  5. Step 5: Solve for x
    x = 135,695,911.85/12,322.98
  6. Step 6: Final answer
    x = 11,011.62

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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.