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Finding the Fourth Proportional to 13,638.46, 18,822.89 and 7,671.28

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Solution

The fourth proportional to 13,638.46, 18,822.89 and 7,671.28 is: 10,587.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,638.46 : 18,822.89 = 7,671.28 : x
  2. Step 2: Convert to fraction form
    13,638.46/18,822.89 = 7,671.28/x
  3. Step 3: Cross multiply
    13,638.46x = 18,822.89 × 7,671.28
  4. Step 4: Simplify right side
    13,638.46x = 144,395,661.12
  5. Step 5: Solve for x
    x = 144,395,661.12/13,638.46
  6. Step 6: Final answer
    x = 10,587.39

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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.