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Finding the Fourth Proportional to 12,576.26, 18,865.02 and 4,785.68

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Solution

The fourth proportional to 12,576.26, 18,865.02 and 4,785.68 is: 7,178.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576.26 : 18,865.02 = 4,785.68 : x
  2. Step 2: Convert to fraction form
    12,576.26/18,865.02 = 4,785.68/x
  3. Step 3: Cross multiply
    12,576.26x = 18,865.02 × 4,785.68
  4. Step 4: Simplify right side
    12,576.26x = 90,281,948.91
  5. Step 5: Solve for x
    x = 90,281,948.91/12,576.26
  6. Step 6: Final answer
    x = 7,178.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.