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Finding the Fourth Proportional to 13,784.56, 20,576.84 and 12,756.64

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Solution

The fourth proportional to 13,784.56, 20,576.84 and 12,756.64 is: 19,042.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,784.56 : 20,576.84 = 12,756.64 : x
  2. Step 2: Convert to fraction form
    13,784.56/20,576.84 = 12,756.64/x
  3. Step 3: Cross multiply
    13,784.56x = 20,576.84 × 12,756.64
  4. Step 4: Simplify right side
    13,784.56x = 262,491,340.22
  5. Step 5: Solve for x
    x = 262,491,340.22/13,784.56
  6. Step 6: Final answer
    x = 19,042.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.