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Finding the Fourth Proportional to 13,236, 18,265.68 and 7,647

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Solution

The fourth proportional to 13,236, 18,265.68 and 7,647 is: 10,552.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,236 : 18,265.68 = 7,647 : x
  2. Step 2: Convert to fraction form
    13,236/18,265.68 = 7,647/x
  3. Step 3: Cross multiply
    13,236x = 18,265.68 × 7,647
  4. Step 4: Simplify right side
    13,236x = 139,677,654.96
  5. Step 5: Solve for x
    x = 139,677,654.96/13,236
  6. Step 6: Final answer
    x = 10,552.86

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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.