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Finding the Fourth Proportional to 26,541.30, 39,816 and 9,903.68

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Solution

The fourth proportional to 26,541.30, 39,816 and 9,903.68 is: 14,857.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,541.30 : 39,816 = 9,903.68 : x
  2. Step 2: Convert to fraction form
    26,541.30/39,816 = 9,903.68/x
  3. Step 3: Cross multiply
    26,541.30x = 39,816 × 9,903.68
  4. Step 4: Simplify right side
    26,541.30x = 394,324,922.88
  5. Step 5: Solve for x
    x = 394,324,922.88/26,541.30
  6. Step 6: Final answer
    x = 14,857.03

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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.