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Finding the Fourth Proportional to 24,695.23, 37,046.70 and 8,051.41

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Solution

The fourth proportional to 24,695.23, 37,046.70 and 8,051.41 is: 12,078.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,695.23 : 37,046.70 = 8,051.41 : x
  2. Step 2: Convert to fraction form
    24,695.23/37,046.70 = 8,051.41/x
  3. Step 3: Cross multiply
    24,695.23x = 37,046.70 × 8,051.41
  4. Step 4: Simplify right side
    24,695.23x = 298,278,170.85
  5. Step 5: Solve for x
    x = 298,278,170.85/24,695.23
  6. Step 6: Final answer
    x = 12,078.37

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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.