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Finding the Fourth Proportional to 15,456.12, 21,328.87 and 8,382.39

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Solution

The fourth proportional to 15,456.12, 21,328.87 and 8,382.39 is: 11,567.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,456.12 : 21,328.87 = 8,382.39 : x
  2. Step 2: Convert to fraction form
    15,456.12/21,328.87 = 8,382.39/x
  3. Step 3: Cross multiply
    15,456.12x = 21,328.87 × 8,382.39
  4. Step 4: Simplify right side
    15,456.12x = 178,786,821.38
  5. Step 5: Solve for x
    x = 178,786,821.38/15,456.12
  6. Step 6: Final answer
    x = 11,567.38

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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.