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Finding the Fourth Proportional to 20,770.77, 31,101.48 and 12,431.01

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Solution

The fourth proportional to 20,770.77, 31,101.48 and 12,431.01 is: 18,613.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,770.77 : 31,101.48 = 12,431.01 : x
  2. Step 2: Convert to fraction form
    20,770.77/31,101.48 = 12,431.01/x
  3. Step 3: Cross multiply
    20,770.77x = 31,101.48 × 12,431.01
  4. Step 4: Simplify right side
    20,770.77x = 386,622,808.89
  5. Step 5: Solve for x
    x = 386,622,808.89/20,770.77
  6. Step 6: Final answer
    x = 18,613.79

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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.