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Finding the Fourth Proportional to 24,314.56, 36,471.82 and 7,676.26

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Solution

The fourth proportional to 24,314.56, 36,471.82 and 7,676.26 is: 11,514.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,314.56 : 36,471.82 = 7,676.26 : x
  2. Step 2: Convert to fraction form
    24,314.56/36,471.82 = 7,676.26/x
  3. Step 3: Cross multiply
    24,314.56x = 36,471.82 × 7,676.26
  4. Step 4: Simplify right side
    24,314.56x = 279,967,172.99
  5. Step 5: Solve for x
    x = 279,967,172.99/24,314.56
  6. Step 6: Final answer
    x = 11,514.38

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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.