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Finding the Fourth Proportional to 20,676.98, 31,019.76 and 10,813.58

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Solution

The fourth proportional to 20,676.98, 31,019.76 and 10,813.58 is: 16,222.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,676.98 : 31,019.76 = 10,813.58 : x
  2. Step 2: Convert to fraction form
    20,676.98/31,019.76 = 10,813.58/x
  3. Step 3: Cross multiply
    20,676.98x = 31,019.76 × 10,813.58
  4. Step 4: Simplify right side
    20,676.98x = 335,434,656.34
  5. Step 5: Solve for x
    x = 335,434,656.34/20,676.98
  6. Step 6: Final answer
    x = 16,222.61

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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.