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Finding the Fourth Proportional to 21,408.20, 32,102.70 and 8,256.20

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Solution

The fourth proportional to 21,408.20, 32,102.70 and 8,256.20 is: 12,380.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,408.20 : 32,102.70 = 8,256.20 : x
  2. Step 2: Convert to fraction form
    21,408.20/32,102.70 = 8,256.20/x
  3. Step 3: Cross multiply
    21,408.20x = 32,102.70 × 8,256.20
  4. Step 4: Simplify right side
    21,408.20x = 265,046,311.74
  5. Step 5: Solve for x
    x = 265,046,311.74/21,408.20
  6. Step 6: Final answer
    x = 12,380.60

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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.