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Finding the Fourth Proportional to 20,676.87, 31,015.65 and 5,886.18

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Solution

The fourth proportional to 20,676.87, 31,015.65 and 5,886.18 is: 8,829.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,676.87 : 31,015.65 = 5,886.18 : x
  2. Step 2: Convert to fraction form
    20,676.87/31,015.65 = 5,886.18/x
  3. Step 3: Cross multiply
    20,676.87x = 31,015.65 × 5,886.18
  4. Step 4: Simplify right side
    20,676.87x = 182,563,698.72
  5. Step 5: Solve for x
    x = 182,563,698.72/20,676.87
  6. Step 6: Final answer
    x = 8,829.37

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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.