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Finding the Fourth Proportional to 13,496.89, 18,617.54 and 8,709.34

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Solution

The fourth proportional to 13,496.89, 18,617.54 and 8,709.34 is: 12,013.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,496.89 : 18,617.54 = 8,709.34 : x
  2. Step 2: Convert to fraction form
    13,496.89/18,617.54 = 8,709.34/x
  3. Step 3: Cross multiply
    13,496.89x = 18,617.54 × 8,709.34
  4. Step 4: Simplify right side
    13,496.89x = 162,146,485.82
  5. Step 5: Solve for x
    x = 162,146,485.82/13,496.89
  6. Step 6: Final answer
    x = 12,013.62

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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.