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Finding the Fourth Proportional to 17,396, 24,006.15 and 9,842.03

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Solution

The fourth proportional to 17,396, 24,006.15 and 9,842.03 is: 13,581.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,396 : 24,006.15 = 9,842.03 : x
  2. Step 2: Convert to fraction form
    17,396/24,006.15 = 9,842.03/x
  3. Step 3: Cross multiply
    17,396x = 24,006.15 × 9,842.03
  4. Step 4: Simplify right side
    17,396x = 236,269,248.48
  5. Step 5: Solve for x
    x = 236,269,248.48/17,396
  6. Step 6: Final answer
    x = 13,581.81

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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.