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Finding the Fourth Proportional to 17,407.68, 23,983.20 and 16,578.24

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Solution

The fourth proportional to 17,407.68, 23,983.20 and 16,578.24 is: 22,840.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,407.68 : 23,983.20 = 16,578.24 : x
  2. Step 2: Convert to fraction form
    17,407.68/23,983.20 = 16,578.24/x
  3. Step 3: Cross multiply
    17,407.68x = 23,983.20 × 16,578.24
  4. Step 4: Simplify right side
    17,407.68x = 397,599,245.57
  5. Step 5: Solve for x
    x = 397,599,245.57/17,407.68
  6. Step 6: Final answer
    x = 22,840.45

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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.