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Finding the Fourth Proportional to 27,676.18, 41,513.91 and 6,899.86

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Solution

The fourth proportional to 27,676.18, 41,513.91 and 6,899.86 is: 10,349.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,676.18 : 41,513.91 = 6,899.86 : x
  2. Step 2: Convert to fraction form
    27,676.18/41,513.91 = 6,899.86/x
  3. Step 3: Cross multiply
    27,676.18x = 41,513.91 × 6,899.86
  4. Step 4: Simplify right side
    27,676.18x = 286,440,167.05
  5. Step 5: Solve for x
    x = 286,440,167.05/27,676.18
  6. Step 6: Final answer
    x = 10,349.70

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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.