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Finding the Fourth Proportional to 13,506.08, 18,640.80 and 7,844.48

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Solution

The fourth proportional to 13,506.08, 18,640.80 and 7,844.48 is: 10,826.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,506.08 : 18,640.80 = 7,844.48 : x
  2. Step 2: Convert to fraction form
    13,506.08/18,640.80 = 7,844.48/x
  3. Step 3: Cross multiply
    13,506.08x = 18,640.80 × 7,844.48
  4. Step 4: Simplify right side
    13,506.08x = 146,227,382.78
  5. Step 5: Solve for x
    x = 146,227,382.78/13,506.08
  6. Step 6: Final answer
    x = 10,826.78

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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.