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Finding the Fourth Proportional to 14,971.75, 20,660.67 and 8,257.19

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Solution

The fourth proportional to 14,971.75, 20,660.67 and 8,257.19 is: 11,394.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,971.75 : 20,660.67 = 8,257.19 : x
  2. Step 2: Convert to fraction form
    14,971.75/20,660.67 = 8,257.19/x
  3. Step 3: Cross multiply
    14,971.75x = 20,660.67 × 8,257.19
  4. Step 4: Simplify right side
    14,971.75x = 170,598,974.41
  5. Step 5: Solve for x
    x = 170,598,974.41/14,971.75
  6. Step 6: Final answer
    x = 11,394.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.