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Finding the Fourth Proportional to 17,396, 24,007.20 and 9,944

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Solution

The fourth proportional to 17,396, 24,007.20 and 9,944 is: 13,723.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,396 : 24,007.20 = 9,944 : x
  2. Step 2: Convert to fraction form
    17,396/24,007.20 = 9,944/x
  3. Step 3: Cross multiply
    17,396x = 24,007.20 × 9,944
  4. Step 4: Simplify right side
    17,396x = 238,727,596.80
  5. Step 5: Solve for x
    x = 238,727,596.80/17,396
  6. Step 6: Final answer
    x = 13,723.13

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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.