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Finding the Fourth Proportional to 13,638.88, 20,439.66 and 10,304.39

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Solution

The fourth proportional to 13,638.88, 20,439.66 and 10,304.39 is: 15,442.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,638.88 : 20,439.66 = 10,304.39 : x
  2. Step 2: Convert to fraction form
    13,638.88/20,439.66 = 10,304.39/x
  3. Step 3: Cross multiply
    13,638.88x = 20,439.66 × 10,304.39
  4. Step 4: Simplify right side
    13,638.88x = 210,618,317.85
  5. Step 5: Solve for x
    x = 210,618,317.85/13,638.88
  6. Step 6: Final answer
    x = 15,442.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.