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Finding the Fourth Proportional to 12,157.45, 18,236.18 and 9,388.16

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Solution

The fourth proportional to 12,157.45, 18,236.18 and 9,388.16 is: 14,082.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,157.45 : 18,236.18 = 9,388.16 : x
  2. Step 2: Convert to fraction form
    12,157.45/18,236.18 = 9,388.16/x
  3. Step 3: Cross multiply
    12,157.45x = 18,236.18 × 9,388.16
  4. Step 4: Simplify right side
    12,157.45x = 171,204,161.58
  5. Step 5: Solve for x
    x = 171,204,161.58/12,157.45
  6. Step 6: Final answer
    x = 14,082.24

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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.