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Finding the Fourth Proportional to 27,398.76, 37,810.24 and 14,823.48

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Solution

The fourth proportional to 27,398.76, 37,810.24 and 14,823.48 is: 20,456.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,398.76 : 37,810.24 = 14,823.48 : x
  2. Step 2: Convert to fraction form
    27,398.76/37,810.24 = 14,823.48/x
  3. Step 3: Cross multiply
    27,398.76x = 37,810.24 × 14,823.48
  4. Step 4: Simplify right side
    27,398.76x = 560,479,336.44
  5. Step 5: Solve for x
    x = 560,479,336.44/27,398.76
  6. Step 6: Final answer
    x = 20,456.38

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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.