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Finding the Fourth Proportional to 17,398, 24,008.90 and 9,844.04

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Solution

The fourth proportional to 17,398, 24,008.90 and 9,844.04 is: 13,584.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,398 : 24,008.90 = 9,844.04 : x
  2. Step 2: Convert to fraction form
    17,398/24,008.90 = 9,844.04/x
  3. Step 3: Cross multiply
    17,398x = 24,008.90 × 9,844.04
  4. Step 4: Simplify right side
    17,398x = 236,344,571.96
  5. Step 5: Solve for x
    x = 236,344,571.96/17,398
  6. Step 6: Final answer
    x = 13,584.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.