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Finding the Fourth Proportional to 23,471.07, 35,214.45 and 7,676.82

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Solution

The fourth proportional to 23,471.07, 35,214.45 and 7,676.82 is: 11,517.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,471.07 : 35,214.45 = 7,676.82 : x
  2. Step 2: Convert to fraction form
    23,471.07/35,214.45 = 7,676.82/x
  3. Step 3: Cross multiply
    23,471.07x = 35,214.45 × 7,676.82
  4. Step 4: Simplify right side
    23,471.07x = 270,334,994.05
  5. Step 5: Solve for x
    x = 270,334,994.05/23,471.07
  6. Step 6: Final answer
    x = 11,517.80

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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.