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Finding the Fourth Proportional to 19,638.94, 29,458.41 and 16,168.90

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Solution

The fourth proportional to 19,638.94, 29,458.41 and 16,168.90 is: 24,253.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,638.94 : 29,458.41 = 16,168.90 : x
  2. Step 2: Convert to fraction form
    19,638.94/29,458.41 = 16,168.90/x
  3. Step 3: Cross multiply
    19,638.94x = 29,458.41 × 16,168.90
  4. Step 4: Simplify right side
    19,638.94x = 476,309,857.31
  5. Step 5: Solve for x
    x = 476,309,857.31/19,638.94
  6. Step 6: Final answer
    x = 24,253.34

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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.