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Finding the Fourth Proportional to 21,674.70, 32,515.47 and 9,194.76

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Solution

The fourth proportional to 21,674.70, 32,515.47 and 9,194.76 is: 13,793.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,674.70 : 32,515.47 = 9,194.76 : x
  2. Step 2: Convert to fraction form
    21,674.70/32,515.47 = 9,194.76/x
  3. Step 3: Cross multiply
    21,674.70x = 32,515.47 × 9,194.76
  4. Step 4: Simplify right side
    21,674.70x = 298,971,942.94
  5. Step 5: Solve for x
    x = 298,971,942.94/21,674.70
  6. Step 6: Final answer
    x = 13,793.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.