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Finding the Fourth Proportional to 13,661.34, 20,495.92 and 4,896.87

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Solution

The fourth proportional to 13,661.34, 20,495.92 and 4,896.87 is: 7,346.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,661.34 : 20,495.92 = 4,896.87 : x
  2. Step 2: Convert to fraction form
    13,661.34/20,495.92 = 4,896.87/x
  3. Step 3: Cross multiply
    13,661.34x = 20,495.92 × 4,896.87
  4. Step 4: Simplify right side
    13,661.34x = 100,365,775.85
  5. Step 5: Solve for x
    x = 100,365,775.85/13,661.34
  6. Step 6: Final answer
    x = 7,346.70

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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.