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Finding the Fourth Proportional to 12,474.33, 18,701.74 and 6,231.19

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Solution

The fourth proportional to 12,474.33, 18,701.74 and 6,231.19 is: 9,341.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,474.33 : 18,701.74 = 6,231.19 : x
  2. Step 2: Convert to fraction form
    12,474.33/18,701.74 = 6,231.19/x
  3. Step 3: Cross multiply
    12,474.33x = 18,701.74 × 6,231.19
  4. Step 4: Simplify right side
    12,474.33x = 116,534,095.27
  5. Step 5: Solve for x
    x = 116,534,095.27/12,474.33
  6. Step 6: Final answer
    x = 9,341.91

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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.