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Finding the Fourth Proportional to 16,171.38, 24,214.80 and 15,186

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Solution

The fourth proportional to 16,171.38, 24,214.80 and 15,186 is: 22,739.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,171.38 : 24,214.80 = 15,186 : x
  2. Step 2: Convert to fraction form
    16,171.38/24,214.80 = 15,186/x
  3. Step 3: Cross multiply
    16,171.38x = 24,214.80 × 15,186
  4. Step 4: Simplify right side
    16,171.38x = 367,725,952.80
  5. Step 5: Solve for x
    x = 367,725,952.80/16,171.38
  6. Step 6: Final answer
    x = 22,739.31

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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.