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Finding the Fourth Proportional to 13,813.44, 19,062.56 and 8,224

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Solution

The fourth proportional to 13,813.44, 19,062.56 and 8,224 is: 11,349.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.44 : 19,062.56 = 8,224 : x
  2. Step 2: Convert to fraction form
    13,813.44/19,062.56 = 8,224/x
  3. Step 3: Cross multiply
    13,813.44x = 19,062.56 × 8,224
  4. Step 4: Simplify right side
    13,813.44x = 156,770,493.44
  5. Step 5: Solve for x
    x = 156,770,493.44/13,813.44
  6. Step 6: Final answer
    x = 11,349.13

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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.