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Finding the Fourth Proportional to 20,676.80, 31,009.68 and 8,987.24

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Solution

The fourth proportional to 20,676.80, 31,009.68 and 8,987.24 is: 13,478.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,676.80 : 31,009.68 = 8,987.24 : x
  2. Step 2: Convert to fraction form
    20,676.80/31,009.68 = 8,987.24/x
  3. Step 3: Cross multiply
    20,676.80x = 31,009.68 × 8,987.24
  4. Step 4: Simplify right side
    20,676.80x = 278,691,436.48
  5. Step 5: Solve for x
    x = 278,691,436.48/20,676.80
  6. Step 6: Final answer
    x = 13,478.46

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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.