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Finding the Fourth Proportional to 13,675.62, 18,872.38 and 7,388

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Solution

The fourth proportional to 13,675.62, 18,872.38 and 7,388 is: 10,195.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,675.62 : 18,872.38 = 7,388 : x
  2. Step 2: Convert to fraction form
    13,675.62/18,872.38 = 7,388/x
  3. Step 3: Cross multiply
    13,675.62x = 18,872.38 × 7,388
  4. Step 4: Simplify right side
    13,675.62x = 139,429,143.44
  5. Step 5: Solve for x
    x = 139,429,143.44/13,675.62
  6. Step 6: Final answer
    x = 10,195.45

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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.