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Finding the Fourth Proportional to 17,274, 23,838.12 and 9,822

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Solution

The fourth proportional to 17,274, 23,838.12 and 9,822 is: 13,554.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,274 : 23,838.12 = 9,822 : x
  2. Step 2: Convert to fraction form
    17,274/23,838.12 = 9,822/x
  3. Step 3: Cross multiply
    17,274x = 23,838.12 × 9,822
  4. Step 4: Simplify right side
    17,274x = 234,138,014.64
  5. Step 5: Solve for x
    x = 234,138,014.64/17,274
  6. Step 6: Final answer
    x = 13,554.36

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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.