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Finding the Fourth Proportional to 13,638.54, 18,820.92 and 7,671.39

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Solution

The fourth proportional to 13,638.54, 18,820.92 and 7,671.39 is: 10,586.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,638.54 : 18,820.92 = 7,671.39 : x
  2. Step 2: Convert to fraction form
    13,638.54/18,820.92 = 7,671.39/x
  3. Step 3: Cross multiply
    13,638.54x = 18,820.92 × 7,671.39
  4. Step 4: Simplify right side
    13,638.54x = 144,382,617.48
  5. Step 5: Solve for x
    x = 144,382,617.48/13,638.54
  6. Step 6: Final answer
    x = 10,586.37

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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.