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Finding the Fourth Proportional to 23,042.57, 34,553.00 and 13,683.83

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Solution

The fourth proportional to 23,042.57, 34,553.00 and 13,683.83 is: 20,519.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,042.57 : 34,553.00 = 13,683.83 : x
  2. Step 2: Convert to fraction form
    23,042.57/34,553.00 = 13,683.83/x
  3. Step 3: Cross multiply
    23,042.57x = 34,553.00 × 13,683.83
  4. Step 4: Simplify right side
    23,042.57x = 472,817,136.81
  5. Step 5: Solve for x
    x = 472,817,136.81/23,042.57
  6. Step 6: Final answer
    x = 20,519.29

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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.