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Finding the Fourth Proportional to 17,398, 24,009.24 and 9,946

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Solution

The fourth proportional to 17,398, 24,009.24 and 9,946 is: 13,725.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,398 : 24,009.24 = 9,946 : x
  2. Step 2: Convert to fraction form
    17,398/24,009.24 = 9,946/x
  3. Step 3: Cross multiply
    17,398x = 24,009.24 × 9,946
  4. Step 4: Simplify right side
    17,398x = 238,795,901.04
  5. Step 5: Solve for x
    x = 238,795,901.04/17,398
  6. Step 6: Final answer
    x = 13,725.48

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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.