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Finding the Fourth Proportional to 27,940, 38,534.16 and 16,754.08

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Solution

The fourth proportional to 27,940, 38,534.16 and 16,754.08 is: 23,106.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,940 : 38,534.16 = 16,754.08 : x
  2. Step 2: Convert to fraction form
    27,940/38,534.16 = 16,754.08/x
  3. Step 3: Cross multiply
    27,940x = 38,534.16 × 16,754.08
  4. Step 4: Simplify right side
    27,940x = 645,604,399.37
  5. Step 5: Solve for x
    x = 645,604,399.37/27,940
  6. Step 6: Final answer
    x = 23,106.81

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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.