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Finding the Fourth Proportional to 17,070.97, 23,558 and 9,902.28

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Solution

The fourth proportional to 17,070.97, 23,558 and 9,902.28 is: 13,665.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,070.97 : 23,558 = 9,902.28 : x
  2. Step 2: Convert to fraction form
    17,070.97/23,558 = 9,902.28/x
  3. Step 3: Cross multiply
    17,070.97x = 23,558 × 9,902.28
  4. Step 4: Simplify right side
    17,070.97x = 233,277,912.24
  5. Step 5: Solve for x
    x = 233,277,912.24/17,070.97
  6. Step 6: Final answer
    x = 13,665.18

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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.