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Finding the Fourth Proportional to 12,443.52, 17,172.38 and 6,778.48

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Solution

The fourth proportional to 12,443.52, 17,172.38 and 6,778.48 is: 9,354.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,443.52 : 17,172.38 = 6,778.48 : x
  2. Step 2: Convert to fraction form
    12,443.52/17,172.38 = 6,778.48/x
  3. Step 3: Cross multiply
    12,443.52x = 17,172.38 × 6,778.48
  4. Step 4: Simplify right side
    12,443.52x = 116,402,634.38
  5. Step 5: Solve for x
    x = 116,402,634.38/12,443.52
  6. Step 6: Final answer
    x = 9,354.48

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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.