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Finding the Fourth Proportional to 12,380.66, 18,549.40 and 10,313.96

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Solution

The fourth proportional to 12,380.66, 18,549.40 and 10,313.96 is: 15,452.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,380.66 : 18,549.40 = 10,313.96 : x
  2. Step 2: Convert to fraction form
    12,380.66/18,549.40 = 10,313.96/x
  3. Step 3: Cross multiply
    12,380.66x = 18,549.40 × 10,313.96
  4. Step 4: Simplify right side
    12,380.66x = 191,317,769.62
  5. Step 5: Solve for x
    x = 191,317,769.62/12,380.66
  6. Step 6: Final answer
    x = 15,452.95

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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.