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Finding the Fourth Proportional to 19,641.31, 29,461.97 and 16,171.27

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Solution

The fourth proportional to 19,641.31, 29,461.97 and 16,171.27 is: 24,256.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,641.31 : 29,461.97 = 16,171.27 : x
  2. Step 2: Convert to fraction form
    19,641.31/29,461.97 = 16,171.27/x
  3. Step 3: Cross multiply
    19,641.31x = 29,461.97 × 16,171.27
  4. Step 4: Simplify right side
    19,641.31x = 476,437,390.75
  5. Step 5: Solve for x
    x = 476,437,390.75/19,641.31
  6. Step 6: Final answer
    x = 24,256.91

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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.