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Finding the Fourth Proportional to 19,829.53, 27,350.41 and 16,840.63

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Solution

The fourth proportional to 19,829.53, 27,350.41 and 16,840.63 is: 23,227.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,829.53 : 27,350.41 = 16,840.63 : x
  2. Step 2: Convert to fraction form
    19,829.53/27,350.41 = 16,840.63/x
  3. Step 3: Cross multiply
    19,829.53x = 27,350.41 × 16,840.63
  4. Step 4: Simplify right side
    19,829.53x = 460,597,914.20
  5. Step 5: Solve for x
    x = 460,597,914.20/19,829.53
  6. Step 6: Final answer
    x = 23,227.88

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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.