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Finding the Fourth Proportional to 18,181.68, 27,275.76 and 6,511.20

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Solution

The fourth proportional to 18,181.68, 27,275.76 and 6,511.20 is: 9,767.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,181.68 : 27,275.76 = 6,511.20 : x
  2. Step 2: Convert to fraction form
    18,181.68/27,275.76 = 6,511.20/x
  3. Step 3: Cross multiply
    18,181.68x = 27,275.76 × 6,511.20
  4. Step 4: Simplify right side
    18,181.68x = 177,597,928.51
  5. Step 5: Solve for x
    x = 177,597,928.51/18,181.68
  6. Step 6: Final answer
    x = 9,767.96

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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.