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Finding the Fourth Proportional to 17,394, 24,003.78 and 9,436.26

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Solution

The fourth proportional to 17,394, 24,003.78 and 9,436.26 is: 13,022.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,394 : 24,003.78 = 9,436.26 : x
  2. Step 2: Convert to fraction form
    17,394/24,003.78 = 9,436.26/x
  3. Step 3: Cross multiply
    17,394x = 24,003.78 × 9,436.26
  4. Step 4: Simplify right side
    17,394x = 226,505,909.06
  5. Step 5: Solve for x
    x = 226,505,909.06/17,394
  6. Step 6: Final answer
    x = 13,022.07

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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.