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Finding the Fourth Proportional to 26,331.48, 39,503.46 and 7,863

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Solution

The fourth proportional to 26,331.48, 39,503.46 and 7,863 is: 11,796.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,331.48 : 39,503.46 = 7,863 : x
  2. Step 2: Convert to fraction form
    26,331.48/39,503.46 = 7,863/x
  3. Step 3: Cross multiply
    26,331.48x = 39,503.46 × 7,863
  4. Step 4: Simplify right side
    26,331.48x = 310,615,705.98
  5. Step 5: Solve for x
    x = 310,615,705.98/26,331.48
  6. Step 6: Final answer
    x = 11,796.36

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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.