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Finding the Fourth Proportional to 18,741.23, 28,121 and 8,209.81

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Solution

The fourth proportional to 18,741.23, 28,121 and 8,209.81 is: 12,318.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,741.23 : 28,121 = 8,209.81 : x
  2. Step 2: Convert to fraction form
    18,741.23/28,121 = 8,209.81/x
  3. Step 3: Cross multiply
    18,741.23x = 28,121 × 8,209.81
  4. Step 4: Simplify right side
    18,741.23x = 230,867,996.71
  5. Step 5: Solve for x
    x = 230,867,996.71/18,741.23
  6. Step 6: Final answer
    x = 12,318.72

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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.