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Finding the Fourth Proportional to 12,785.88, 19,162.26 and 10,321.68

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Solution

The fourth proportional to 12,785.88, 19,162.26 and 10,321.68 is: 15,469.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,785.88 : 19,162.26 = 10,321.68 : x
  2. Step 2: Convert to fraction form
    12,785.88/19,162.26 = 10,321.68/x
  3. Step 3: Cross multiply
    12,785.88x = 19,162.26 × 10,321.68
  4. Step 4: Simplify right side
    12,785.88x = 197,786,715.80
  5. Step 5: Solve for x
    x = 197,786,715.80/12,785.88
  6. Step 6: Final answer
    x = 15,469.15

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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.