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Finding the Fourth Proportional to 15,542.38, 21,442.06 and 10,829.39

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Solution

The fourth proportional to 15,542.38, 21,442.06 and 10,829.39 is: 14,940.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,542.38 : 21,442.06 = 10,829.39 : x
  2. Step 2: Convert to fraction form
    15,542.38/21,442.06 = 10,829.39/x
  3. Step 3: Cross multiply
    15,542.38x = 21,442.06 × 10,829.39
  4. Step 4: Simplify right side
    15,542.38x = 232,204,497.29
  5. Step 5: Solve for x
    x = 232,204,497.29/15,542.38
  6. Step 6: Final answer
    x = 14,940.09

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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.