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Finding the Fourth Proportional to 23,179.57, 34,683.19 and 13,824.68

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Solution

The fourth proportional to 23,179.57, 34,683.19 and 13,824.68 is: 20,685.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,179.57 : 34,683.19 = 13,824.68 : x
  2. Step 2: Convert to fraction form
    23,179.57/34,683.19 = 13,824.68/x
  3. Step 3: Cross multiply
    23,179.57x = 34,683.19 × 13,824.68
  4. Step 4: Simplify right side
    23,179.57x = 479,483,795.15
  5. Step 5: Solve for x
    x = 479,483,795.15/23,179.57
  6. Step 6: Final answer
    x = 20,685.62

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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.