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Finding the Fourth Proportional to 27,674.60, 38,200.80 and 16,344.14

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Solution

The fourth proportional to 27,674.60, 38,200.80 and 16,344.14 is: 22,560.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,674.60 : 38,200.80 = 16,344.14 : x
  2. Step 2: Convert to fraction form
    27,674.60/38,200.80 = 16,344.14/x
  3. Step 3: Cross multiply
    27,674.60x = 38,200.80 × 16,344.14
  4. Step 4: Simplify right side
    27,674.60x = 624,359,223.31
  5. Step 5: Solve for x
    x = 624,359,223.31/27,674.60
  6. Step 6: Final answer
    x = 22,560.73

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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.