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Finding the Fourth Proportional to 18,042.41, 24,898.39 and 10,084.57

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Solution

The fourth proportional to 18,042.41, 24,898.39 and 10,084.57 is: 13,916.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,042.41 : 24,898.39 = 10,084.57 : x
  2. Step 2: Convert to fraction form
    18,042.41/24,898.39 = 10,084.57/x
  3. Step 3: Cross multiply
    18,042.41x = 24,898.39 × 10,084.57
  4. Step 4: Simplify right side
    18,042.41x = 251,089,469.38
  5. Step 5: Solve for x
    x = 251,089,469.38/18,042.41
  6. Step 6: Final answer
    x = 13,916.62

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Why These Related Problems?

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