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Finding the Fourth Proportional to 17,146.38, 23,665.03 and 10,072.80

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Solution

The fourth proportional to 17,146.38, 23,665.03 and 10,072.80 is: 13,902.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,146.38 : 23,665.03 = 10,072.80 : x
  2. Step 2: Convert to fraction form
    17,146.38/23,665.03 = 10,072.80/x
  3. Step 3: Cross multiply
    17,146.38x = 23,665.03 × 10,072.80
  4. Step 4: Simplify right side
    17,146.38x = 238,373,114.18
  5. Step 5: Solve for x
    x = 238,373,114.18/17,146.38
  6. Step 6: Final answer
    x = 13,902.24

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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.