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Finding the Fourth Proportional to 16,571.98, 22,874.16 and 13,238.02

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Solution

The fourth proportional to 16,571.98, 22,874.16 and 13,238.02 is: 18,272.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,571.98 : 22,874.16 = 13,238.02 : x
  2. Step 2: Convert to fraction form
    16,571.98/22,874.16 = 13,238.02/x
  3. Step 3: Cross multiply
    16,571.98x = 22,874.16 × 13,238.02
  4. Step 4: Simplify right side
    16,571.98x = 302,808,587.56
  5. Step 5: Solve for x
    x = 302,808,587.56/16,571.98
  6. Step 6: Final answer
    x = 18,272.32

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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.