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Finding the Fourth Proportional to 24,537.75, 33,865.74 and 14,462.97

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Solution

The fourth proportional to 24,537.75, 33,865.74 and 14,462.97 is: 19,961.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,537.75 : 33,865.74 = 14,462.97 : x
  2. Step 2: Convert to fraction form
    24,537.75/33,865.74 = 14,462.97/x
  3. Step 3: Cross multiply
    24,537.75x = 33,865.74 × 14,462.97
  4. Step 4: Simplify right side
    24,537.75x = 489,799,181.65
  5. Step 5: Solve for x
    x = 489,799,181.65/24,537.75
  6. Step 6: Final answer
    x = 19,961.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.