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Finding the Fourth Proportional to 27,682.56, 41,533.20 and 12,110.40

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Solution

The fourth proportional to 27,682.56, 41,533.20 and 12,110.40 is: 18,169.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,682.56 : 41,533.20 = 12,110.40 : x
  2. Step 2: Convert to fraction form
    27,682.56/41,533.20 = 12,110.40/x
  3. Step 3: Cross multiply
    27,682.56x = 41,533.20 × 12,110.40
  4. Step 4: Simplify right side
    27,682.56x = 502,983,665.28
  5. Step 5: Solve for x
    x = 502,983,665.28/27,682.56
  6. Step 6: Final answer
    x = 18,169.69

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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.