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Finding the Fourth Proportional to 13,676.49, 18,873.56 and 7,388.87

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Solution

The fourth proportional to 13,676.49, 18,873.56 and 7,388.87 is: 10,196.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,676.49 : 18,873.56 = 7,388.87 : x
  2. Step 2: Convert to fraction form
    13,676.49/18,873.56 = 7,388.87/x
  3. Step 3: Cross multiply
    13,676.49x = 18,873.56 × 7,388.87
  4. Step 4: Simplify right side
    13,676.49x = 139,454,205.38
  5. Step 5: Solve for x
    x = 139,454,205.38/13,676.49
  6. Step 6: Final answer
    x = 10,196.64

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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.