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Finding the Fourth Proportional to 26,104.93, 39,123.87 and 11,863

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Solution

The fourth proportional to 26,104.93, 39,123.87 and 11,863 is: 17,779.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,104.93 : 39,123.87 = 11,863 : x
  2. Step 2: Convert to fraction form
    26,104.93/39,123.87 = 11,863/x
  3. Step 3: Cross multiply
    26,104.93x = 39,123.87 × 11,863
  4. Step 4: Simplify right side
    26,104.93x = 464,126,469.81
  5. Step 5: Solve for x
    x = 464,126,469.81/26,104.93
  6. Step 6: Final answer
    x = 17,779.27

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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.