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Finding the Fourth Proportional to 18,282.64, 27,405.72 and 7,181.20

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Solution

The fourth proportional to 18,282.64, 27,405.72 and 7,181.20 is: 10,764.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,282.64 : 27,405.72 = 7,181.20 : x
  2. Step 2: Convert to fraction form
    18,282.64/27,405.72 = 7,181.20/x
  3. Step 3: Cross multiply
    18,282.64x = 27,405.72 × 7,181.20
  4. Step 4: Simplify right side
    18,282.64x = 196,805,956.46
  5. Step 5: Solve for x
    x = 196,805,956.46/18,282.64
  6. Step 6: Final answer
    x = 10,764.64

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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.