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Finding the Fourth Proportional to 13,517.64, 18,651.06 and 7,927.56

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Solution

The fourth proportional to 13,517.64, 18,651.06 and 7,927.56 is: 10,938.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,517.64 : 18,651.06 = 7,927.56 : x
  2. Step 2: Convert to fraction form
    13,517.64/18,651.06 = 7,927.56/x
  3. Step 3: Cross multiply
    13,517.64x = 18,651.06 × 7,927.56
  4. Step 4: Simplify right side
    13,517.64x = 147,857,397.21
  5. Step 5: Solve for x
    x = 147,857,397.21/13,517.64
  6. Step 6: Final answer
    x = 10,938.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.