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Finding the Fourth Proportional to 17,963.10, 24,792.03 and 13,706.10

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Solution

The fourth proportional to 17,963.10, 24,792.03 and 13,706.10 is: 18,916.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,963.10 : 24,792.03 = 13,706.10 : x
  2. Step 2: Convert to fraction form
    17,963.10/24,792.03 = 13,706.10/x
  3. Step 3: Cross multiply
    17,963.10x = 24,792.03 × 13,706.10
  4. Step 4: Simplify right side
    17,963.10x = 339,802,042.38
  5. Step 5: Solve for x
    x = 339,802,042.38/17,963.10
  6. Step 6: Final answer
    x = 18,916.67

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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.