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Finding the Fourth Proportional to 23,676.68, 35,516.91 and 7,881.14

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Solution

The fourth proportional to 23,676.68, 35,516.91 and 7,881.14 is: 11,822.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,676.68 : 35,516.91 = 7,881.14 : x
  2. Step 2: Convert to fraction form
    23,676.68/35,516.91 = 7,881.14/x
  3. Step 3: Cross multiply
    23,676.68x = 35,516.91 × 7,881.14
  4. Step 4: Simplify right side
    23,676.68x = 279,913,562.49
  5. Step 5: Solve for x
    x = 279,913,562.49/23,676.68
  6. Step 6: Final answer
    x = 11,822.33

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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.