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Finding the Fourth Proportional to 11,676.48, 17,505.26 and 7,969.38

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Solution

The fourth proportional to 11,676.48, 17,505.26 and 7,969.38 is: 11,947.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.48 : 17,505.26 = 7,969.38 : x
  2. Step 2: Convert to fraction form
    11,676.48/17,505.26 = 7,969.38/x
  3. Step 3: Cross multiply
    11,676.48x = 17,505.26 × 7,969.38
  4. Step 4: Simplify right side
    11,676.48x = 139,506,068.94
  5. Step 5: Solve for x
    x = 139,506,068.94/11,676.48
  6. Step 6: Final answer
    x = 11,947.61

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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.