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Finding the Fourth Proportional to 16,170.71, 22,310.24 and 13,181.40

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Solution

The fourth proportional to 16,170.71, 22,310.24 and 13,181.40 is: 18,185.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,170.71 : 22,310.24 = 13,181.40 : x
  2. Step 2: Convert to fraction form
    16,170.71/22,310.24 = 13,181.40/x
  3. Step 3: Cross multiply
    16,170.71x = 22,310.24 × 13,181.40
  4. Step 4: Simplify right side
    16,170.71x = 294,080,131.63
  5. Step 5: Solve for x
    x = 294,080,131.63/16,170.71
  6. Step 6: Final answer
    x = 18,185.98

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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.