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Finding the Fourth Proportional to 17,117.92, 23,662.56 and 16,420.24

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Solution

The fourth proportional to 17,117.92, 23,662.56 and 16,420.24 is: 22,698.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,117.92 : 23,662.56 = 16,420.24 : x
  2. Step 2: Convert to fraction form
    17,117.92/23,662.56 = 16,420.24/x
  3. Step 3: Cross multiply
    17,117.92x = 23,662.56 × 16,420.24
  4. Step 4: Simplify right side
    17,117.92x = 388,544,914.21
  5. Step 5: Solve for x
    x = 388,544,914.21/17,117.92
  6. Step 6: Final answer
    x = 22,698.14

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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.