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Finding the Fourth Proportional to 24,842.69, 37,254.92 and 8,197.80

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Solution

The fourth proportional to 24,842.69, 37,254.92 and 8,197.80 is: 12,293.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,842.69 : 37,254.92 = 8,197.80 : x
  2. Step 2: Convert to fraction form
    24,842.69/37,254.92 = 8,197.80/x
  3. Step 3: Cross multiply
    24,842.69x = 37,254.92 × 8,197.80
  4. Step 4: Simplify right side
    24,842.69x = 305,408,383.18
  5. Step 5: Solve for x
    x = 305,408,383.18/24,842.69
  6. Step 6: Final answer
    x = 12,293.69

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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.