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Finding the Fourth Proportional to 17,000.10, 25,508.51 and 7,646.73

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Solution

The fourth proportional to 17,000.10, 25,508.51 and 7,646.73 is: 11,473.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,000.10 : 25,508.51 = 7,646.73 : x
  2. Step 2: Convert to fraction form
    17,000.10/25,508.51 = 7,646.73/x
  3. Step 3: Cross multiply
    17,000.10x = 25,508.51 × 7,646.73
  4. Step 4: Simplify right side
    17,000.10x = 195,056,650.44
  5. Step 5: Solve for x
    x = 195,056,650.44/17,000.10
  6. Step 6: Final answer
    x = 11,473.85

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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.