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Finding the Fourth Proportional to 17,182.52, 25,774.31 and 8,174.66

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Solution

The fourth proportional to 17,182.52, 25,774.31 and 8,174.66 is: 12,262.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,182.52 : 25,774.31 = 8,174.66 : x
  2. Step 2: Convert to fraction form
    17,182.52/25,774.31 = 8,174.66/x
  3. Step 3: Cross multiply
    17,182.52x = 25,774.31 × 8,174.66
  4. Step 4: Simplify right side
    17,182.52x = 210,696,305.86
  5. Step 5: Solve for x
    x = 210,696,305.86/17,182.52
  6. Step 6: Final answer
    x = 12,262.25

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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.