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Finding the Fourth Proportional to 16,190.88, 22,262.64 and 13,828.80

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Solution

The fourth proportional to 16,190.88, 22,262.64 and 13,828.80 is: 19,014.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,190.88 : 22,262.64 = 13,828.80 : x
  2. Step 2: Convert to fraction form
    16,190.88/22,262.64 = 13,828.80/x
  3. Step 3: Cross multiply
    16,190.88x = 22,262.64 × 13,828.80
  4. Step 4: Simplify right side
    16,190.88x = 307,865,596.03
  5. Step 5: Solve for x
    x = 307,865,596.03/16,190.88
  6. Step 6: Final answer
    x = 19,014.75

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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.