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Finding the Fourth Proportional to 13,546.61, 18,696.31 and 8,240.40

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Solution

The fourth proportional to 13,546.61, 18,696.31 and 8,240.40 is: 11,372.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,546.61 : 18,696.31 = 8,240.40 : x
  2. Step 2: Convert to fraction form
    13,546.61/18,696.31 = 8,240.40/x
  3. Step 3: Cross multiply
    13,546.61x = 18,696.31 × 8,240.40
  4. Step 4: Simplify right side
    13,546.61x = 154,065,072.92
  5. Step 5: Solve for x
    x = 154,065,072.92/13,546.61
  6. Step 6: Final answer
    x = 11,372.96

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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.