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Finding the Fourth Proportional to 24,813.90, 37,212.85 and 8,169.97

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Solution

The fourth proportional to 24,813.90, 37,212.85 and 8,169.97 is: 12,252.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,813.90 : 37,212.85 = 8,169.97 : x
  2. Step 2: Convert to fraction form
    24,813.90/37,212.85 = 8,169.97/x
  3. Step 3: Cross multiply
    24,813.90x = 37,212.85 × 8,169.97
  4. Step 4: Simplify right side
    24,813.90x = 304,027,924.84
  5. Step 5: Solve for x
    x = 304,027,924.84/24,813.90
  6. Step 6: Final answer
    x = 12,252.32

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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.