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Finding the Fourth Proportional to 20,676.84, 31,006.02 and 5,882.31

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Solution

The fourth proportional to 20,676.84, 31,006.02 and 5,882.31 is: 8,820.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,676.84 : 31,006.02 = 5,882.31 : x
  2. Step 2: Convert to fraction form
    20,676.84/31,006.02 = 5,882.31/x
  3. Step 3: Cross multiply
    20,676.84x = 31,006.02 × 5,882.31
  4. Step 4: Simplify right side
    20,676.84x = 182,387,021.51
  5. Step 5: Solve for x
    x = 182,387,021.51/20,676.84
  6. Step 6: Final answer
    x = 8,820.84

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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.