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Finding the Fourth Proportional to 26,894.91, 40,342.35 and 8,174.88

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Solution

The fourth proportional to 26,894.91, 40,342.35 and 8,174.88 is: 12,262.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,894.91 : 40,342.35 = 8,174.88 : x
  2. Step 2: Convert to fraction form
    26,894.91/40,342.35 = 8,174.88/x
  3. Step 3: Cross multiply
    26,894.91x = 40,342.35 × 8,174.88
  4. Step 4: Simplify right side
    26,894.91x = 329,793,900.82
  5. Step 5: Solve for x
    x = 329,793,900.82/26,894.91
  6. Step 6: Final answer
    x = 12,262.31

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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.