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Finding the Fourth Proportional to 12,425, 17,137.82 and 8,174.72

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Solution

The fourth proportional to 12,425, 17,137.82 and 8,174.72 is: 11,275.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,425 : 17,137.82 = 8,174.72 : x
  2. Step 2: Convert to fraction form
    12,425/17,137.82 = 8,174.72/x
  3. Step 3: Cross multiply
    12,425x = 17,137.82 × 8,174.72
  4. Step 4: Simplify right side
    12,425x = 140,096,879.91
  5. Step 5: Solve for x
    x = 140,096,879.91/12,425
  6. Step 6: Final answer
    x = 11,275.40

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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.