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Finding the Fourth Proportional to 14,806.57, 20,431.09 and 9,508.56

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Solution

The fourth proportional to 14,806.57, 20,431.09 and 9,508.56 is: 13,120.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,806.57 : 20,431.09 = 9,508.56 : x
  2. Step 2: Convert to fraction form
    14,806.57/20,431.09 = 9,508.56/x
  3. Step 3: Cross multiply
    14,806.57x = 20,431.09 × 9,508.56
  4. Step 4: Simplify right side
    14,806.57x = 194,270,243.36
  5. Step 5: Solve for x
    x = 194,270,243.36/14,806.57
  6. Step 6: Final answer
    x = 13,120.55

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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.