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Finding the Fourth Proportional to 16,780.42, 25,171.40 and 11,872

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Solution

The fourth proportional to 16,780.42, 25,171.40 and 11,872 is: 17,808.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,780.42 : 25,171.40 = 11,872 : x
  2. Step 2: Convert to fraction form
    16,780.42/25,171.40 = 11,872/x
  3. Step 3: Cross multiply
    16,780.42x = 25,171.40 × 11,872
  4. Step 4: Simplify right side
    16,780.42x = 298,834,860.80
  5. Step 5: Solve for x
    x = 298,834,860.80/16,780.42
  6. Step 6: Final answer
    x = 17,808.54

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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.