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Finding the Fourth Proportional to 20,645.98, 30,968.97 and 16,983.16

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Solution

The fourth proportional to 20,645.98, 30,968.97 and 16,983.16 is: 25,474.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,645.98 : 30,968.97 = 16,983.16 : x
  2. Step 2: Convert to fraction form
    20,645.98/30,968.97 = 16,983.16/x
  3. Step 3: Cross multiply
    20,645.98x = 30,968.97 × 16,983.16
  4. Step 4: Simplify right side
    20,645.98x = 525,950,831.44
  5. Step 5: Solve for x
    x = 525,950,831.44/20,645.98
  6. Step 6: Final answer
    x = 25,474.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.