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Finding the Fourth Proportional to 13,240.53, 18,243.09 and 9,882

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Solution

The fourth proportional to 13,240.53, 18,243.09 and 9,882 is: 13,615.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,240.53 : 18,243.09 = 9,882 : x
  2. Step 2: Convert to fraction form
    13,240.53/18,243.09 = 9,882/x
  3. Step 3: Cross multiply
    13,240.53x = 18,243.09 × 9,882
  4. Step 4: Simplify right side
    13,240.53x = 180,278,215.38
  5. Step 5: Solve for x
    x = 180,278,215.38/13,240.53
  6. Step 6: Final answer
    x = 13,615.63

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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.