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Finding the Fourth Proportional to 27,674.50, 38,190.82 and 16,496.50

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Solution

The fourth proportional to 27,674.50, 38,190.82 and 16,496.50 is: 22,765.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,674.50 : 38,190.82 = 16,496.50 : x
  2. Step 2: Convert to fraction form
    27,674.50/38,190.82 = 16,496.50/x
  3. Step 3: Cross multiply
    27,674.50x = 38,190.82 × 16,496.50
  4. Step 4: Simplify right side
    27,674.50x = 630,014,862.13
  5. Step 5: Solve for x
    x = 630,014,862.13/27,674.50
  6. Step 6: Final answer
    x = 22,765.18

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1.5x scale

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.