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Finding the Fourth Proportional to 27,280.43, 37,652.16 and 17,076.20

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Solution

The fourth proportional to 27,280.43, 37,652.16 and 17,076.20 is: 23,568.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,280.43 : 37,652.16 = 17,076.20 : x
  2. Step 2: Convert to fraction form
    27,280.43/37,652.16 = 17,076.20/x
  3. Step 3: Cross multiply
    27,280.43x = 37,652.16 × 17,076.20
  4. Step 4: Simplify right side
    27,280.43x = 642,955,626.33
  5. Step 5: Solve for x
    x = 642,955,626.33/27,280.43
  6. Step 6: Final answer
    x = 23,568.39

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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.