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Finding the Fourth Proportional to 26,676.83, 40,015.24 and 9,146.81

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Solution

The fourth proportional to 26,676.83, 40,015.24 and 9,146.81 is: 13,720.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,676.83 : 40,015.24 = 9,146.81 : x
  2. Step 2: Convert to fraction form
    26,676.83/40,015.24 = 9,146.81/x
  3. Step 3: Cross multiply
    26,676.83x = 40,015.24 × 9,146.81
  4. Step 4: Simplify right side
    26,676.83x = 366,011,720.21
  5. Step 5: Solve for x
    x = 366,011,720.21/26,676.83
  6. Step 6: Final answer
    x = 13,720.21

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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.