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Finding the Fourth Proportional to 17,468.16, 24,109.44 and 11,489.28

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Solution

The fourth proportional to 17,468.16, 24,109.44 and 11,489.28 is: 15,857.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,468.16 : 24,109.44 = 11,489.28 : x
  2. Step 2: Convert to fraction form
    17,468.16/24,109.44 = 11,489.28/x
  3. Step 3: Cross multiply
    17,468.16x = 24,109.44 × 11,489.28
  4. Step 4: Simplify right side
    17,468.16x = 277,000,106.80
  5. Step 5: Solve for x
    x = 277,000,106.80/17,468.16
  6. Step 6: Final answer
    x = 15,857.43

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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.