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Finding the Fourth Proportional to 27,825.16, 38,393.05 and 16,489.66

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Solution

The fourth proportional to 27,825.16, 38,393.05 and 16,489.66 is: 22,752.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,825.16 : 38,393.05 = 16,489.66 : x
  2. Step 2: Convert to fraction form
    27,825.16/38,393.05 = 16,489.66/x
  3. Step 3: Cross multiply
    27,825.16x = 38,393.05 × 16,489.66
  4. Step 4: Simplify right side
    27,825.16x = 633,088,340.86
  5. Step 5: Solve for x
    x = 633,088,340.86/27,825.16
  6. Step 6: Final answer
    x = 22,752.37

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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.