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Finding the Fourth Proportional to 27,524.08, 37,992.92 and 16,346

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Solution

The fourth proportional to 27,524.08, 37,992.92 and 16,346 is: 22,563.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,524.08 : 37,992.92 = 16,346 : x
  2. Step 2: Convert to fraction form
    27,524.08/37,992.92 = 16,346/x
  3. Step 3: Cross multiply
    27,524.08x = 37,992.92 × 16,346
  4. Step 4: Simplify right side
    27,524.08x = 621,032,270.32
  5. Step 5: Solve for x
    x = 621,032,270.32/27,524.08
  6. Step 6: Final answer
    x = 22,563.23

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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.