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Finding the Fourth Proportional to 27,811.84, 38,274.24 and 22,391.68

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Solution

The fourth proportional to 27,811.84, 38,274.24 and 22,391.68 is: 30,815.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,811.84 : 38,274.24 = 22,391.68 : x
  2. Step 2: Convert to fraction form
    27,811.84/38,274.24 = 22,391.68/x
  3. Step 3: Cross multiply
    27,811.84x = 38,274.24 × 22,391.68
  4. Step 4: Simplify right side
    27,811.84x = 857,024,534.32
  5. Step 5: Solve for x
    x = 857,024,534.32/27,811.84
  6. Step 6: Final answer
    x = 30,815.10

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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.