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Finding the Fourth Proportional to 15,757.71, 23,611.92 and 13,408.05

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Solution

The fourth proportional to 15,757.71, 23,611.92 and 13,408.05 is: 20,091.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,757.71 : 23,611.92 = 13,408.05 : x
  2. Step 2: Convert to fraction form
    15,757.71/23,611.92 = 13,408.05/x
  3. Step 3: Cross multiply
    15,757.71x = 23,611.92 × 13,408.05
  4. Step 4: Simplify right side
    15,757.71x = 316,589,842.22
  5. Step 5: Solve for x
    x = 316,589,842.22/15,757.71
  6. Step 6: Final answer
    x = 20,091.11

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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.