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Finding the Fourth Proportional to 27,176.82, 37,504.38 and 16,420.20

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Solution

The fourth proportional to 27,176.82, 37,504.38 and 16,420.20 is: 22,660.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,176.82 : 37,504.38 = 16,420.20 : x
  2. Step 2: Convert to fraction form
    27,176.82/37,504.38 = 16,420.20/x
  3. Step 3: Cross multiply
    27,176.82x = 37,504.38 × 16,420.20
  4. Step 4: Simplify right side
    27,176.82x = 615,829,420.48
  5. Step 5: Solve for x
    x = 615,829,420.48/27,176.82
  6. Step 6: Final answer
    x = 22,660.10

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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.