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Finding the Fourth Proportional to 21,394.76, 32,096.99 and 8,247.85

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Solution

The fourth proportional to 21,394.76, 32,096.99 and 8,247.85 is: 12,373.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,394.76 : 32,096.99 = 8,247.85 : x
  2. Step 2: Convert to fraction form
    21,394.76/32,096.99 = 8,247.85/x
  3. Step 3: Cross multiply
    21,394.76x = 32,096.99 × 8,247.85
  4. Step 4: Simplify right side
    21,394.76x = 264,731,099.35
  5. Step 5: Solve for x
    x = 264,731,099.35/21,394.76
  6. Step 6: Final answer
    x = 12,373.64

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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.