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Finding the Fourth Proportional to 13,757.78, 20,616.45 and 8,129.67

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Solution

The fourth proportional to 13,757.78, 20,616.45 and 8,129.67 is: 12,182.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,757.78 : 20,616.45 = 8,129.67 : x
  2. Step 2: Convert to fraction form
    13,757.78/20,616.45 = 8,129.67/x
  3. Step 3: Cross multiply
    13,757.78x = 20,616.45 × 8,129.67
  4. Step 4: Simplify right side
    13,757.78x = 167,604,935.07
  5. Step 5: Solve for x
    x = 167,604,935.07/13,757.78
  6. Step 6: Final answer
    x = 12,182.56

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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.