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Finding the Fourth Proportional to 18,605.36, 27,905.16 and 12,077.84

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Solution

The fourth proportional to 18,605.36, 27,905.16 and 12,077.84 is: 18,114.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,605.36 : 27,905.16 = 12,077.84 : x
  2. Step 2: Convert to fraction form
    18,605.36/27,905.16 = 12,077.84/x
  3. Step 3: Cross multiply
    18,605.36x = 27,905.16 × 12,077.84
  4. Step 4: Simplify right side
    18,605.36x = 337,034,057.65
  5. Step 5: Solve for x
    x = 337,034,057.65/18,605.36
  6. Step 6: Final answer
    x = 18,114.89

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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.