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Finding the Fourth Proportional to 15,456.47, 21,329.78 and 8,743.41

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Solution

The fourth proportional to 15,456.47, 21,329.78 and 8,743.41 is: 12,065.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,456.47 : 21,329.78 = 8,743.41 : x
  2. Step 2: Convert to fraction form
    15,456.47/21,329.78 = 8,743.41/x
  3. Step 3: Cross multiply
    15,456.47x = 21,329.78 × 8,743.41
  4. Step 4: Simplify right side
    15,456.47x = 186,494,861.38
  5. Step 5: Solve for x
    x = 186,494,861.38/15,456.47
  6. Step 6: Final answer
    x = 12,065.81

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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.