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Finding the Fourth Proportional to 17,394, 24,003.84 and 9,942

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Solution

The fourth proportional to 17,394, 24,003.84 and 9,942 is: 13,720.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,394 : 24,003.84 = 9,942 : x
  2. Step 2: Convert to fraction form
    17,394/24,003.84 = 9,942/x
  3. Step 3: Cross multiply
    17,394x = 24,003.84 × 9,942
  4. Step 4: Simplify right side
    17,394x = 238,646,177.28
  5. Step 5: Solve for x
    x = 238,646,177.28/17,394
  6. Step 6: Final answer
    x = 13,720.03

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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.