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Finding the Fourth Proportional to 24,861.75, 34,309.29 and 13,683.75

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Solution

The fourth proportional to 24,861.75, 34,309.29 and 13,683.75 is: 18,883.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,861.75 : 34,309.29 = 13,683.75 : x
  2. Step 2: Convert to fraction form
    24,861.75/34,309.29 = 13,683.75/x
  3. Step 3: Cross multiply
    24,861.75x = 34,309.29 × 13,683.75
  4. Step 4: Simplify right side
    24,861.75x = 469,479,747.04
  5. Step 5: Solve for x
    x = 469,479,747.04/24,861.75
  6. Step 6: Final answer
    x = 18,883.62

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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.