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Finding the Fourth Proportional to 23,806.56, 32,851.28 and 13,049.72

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Solution

The fourth proportional to 23,806.56, 32,851.28 and 13,049.72 is: 18,007.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,806.56 : 32,851.28 = 13,049.72 : x
  2. Step 2: Convert to fraction form
    23,806.56/32,851.28 = 13,049.72/x
  3. Step 3: Cross multiply
    23,806.56x = 32,851.28 × 13,049.72
  4. Step 4: Simplify right side
    23,806.56x = 428,699,776.14
  5. Step 5: Solve for x
    x = 428,699,776.14/23,806.56
  6. Step 6: Final answer
    x = 18,007.63

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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.