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Finding the Fourth Proportional to 18,533.46, 27,783.27 and 7,996.90

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Solution

The fourth proportional to 18,533.46, 27,783.27 and 7,996.90 is: 11,988.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,533.46 : 27,783.27 = 7,996.90 : x
  2. Step 2: Convert to fraction form
    18,533.46/27,783.27 = 7,996.90/x
  3. Step 3: Cross multiply
    18,533.46x = 27,783.27 × 7,996.90
  4. Step 4: Simplify right side
    18,533.46x = 222,180,109.51
  5. Step 5: Solve for x
    x = 222,180,109.51/18,533.46
  6. Step 6: Final answer
    x = 11,988.05

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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.