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Finding the Fourth Proportional to 12,638.88, 17,439.92 and 7,048.80

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Solution

The fourth proportional to 12,638.88, 17,439.92 and 7,048.80 is: 9,726.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,638.88 : 17,439.92 = 7,048.80 : x
  2. Step 2: Convert to fraction form
    12,638.88/17,439.92 = 7,048.80/x
  3. Step 3: Cross multiply
    12,638.88x = 17,439.92 × 7,048.80
  4. Step 4: Simplify right side
    12,638.88x = 122,930,508.10
  5. Step 5: Solve for x
    x = 122,930,508.10/12,638.88
  6. Step 6: Final answer
    x = 9,726.38

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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.