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Finding the Fourth Proportional to 18,348.68, 27,534 and 7,960.44

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Solution

The fourth proportional to 18,348.68, 27,534 and 7,960.44 is: 11,945.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,348.68 : 27,534 = 7,960.44 : x
  2. Step 2: Convert to fraction form
    18,348.68/27,534 = 7,960.44/x
  3. Step 3: Cross multiply
    18,348.68x = 27,534 × 7,960.44
  4. Step 4: Simplify right side
    18,348.68x = 219,182,754.96
  5. Step 5: Solve for x
    x = 219,182,754.96/18,348.68
  6. Step 6: Final answer
    x = 11,945.42

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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.