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Finding the Fourth Proportional to 27,676.86, 41,489.75 and 11,032.88

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Solution

The fourth proportional to 27,676.86, 41,489.75 and 11,032.88 is: 16,539.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,676.86 : 41,489.75 = 11,032.88 : x
  2. Step 2: Convert to fraction form
    27,676.86/41,489.75 = 11,032.88/x
  3. Step 3: Cross multiply
    27,676.86x = 41,489.75 × 11,032.88
  4. Step 4: Simplify right side
    27,676.86x = 457,751,253.11
  5. Step 5: Solve for x
    x = 457,751,253.11/27,676.86
  6. Step 6: Final answer
    x = 16,539.13

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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.