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Finding the Fourth Proportional to 13,515.10, 18,651.76 and 7,546.64

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Solution

The fourth proportional to 13,515.10, 18,651.76 and 7,546.64 is: 10,414.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,515.10 : 18,651.76 = 7,546.64 : x
  2. Step 2: Convert to fraction form
    13,515.10/18,651.76 = 7,546.64/x
  3. Step 3: Cross multiply
    13,515.10x = 18,651.76 × 7,546.64
  4. Step 4: Simplify right side
    13,515.10x = 140,758,145.85
  5. Step 5: Solve for x
    x = 140,758,145.85/13,515.10
  6. Step 6: Final answer
    x = 10,414.88

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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.