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Finding the Fourth Proportional to 23,676.82, 35,521.01 and 7,881.82

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Solution

The fourth proportional to 23,676.82, 35,521.01 and 7,881.82 is: 11,824.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,676.82 : 35,521.01 = 7,881.82 : x
  2. Step 2: Convert to fraction form
    23,676.82/35,521.01 = 7,881.82/x
  3. Step 3: Cross multiply
    23,676.82x = 35,521.01 × 7,881.82
  4. Step 4: Simplify right side
    23,676.82x = 279,970,207.04
  5. Step 5: Solve for x
    x = 279,970,207.04/23,676.82
  6. Step 6: Final answer
    x = 11,824.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.