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Finding the Fourth Proportional to 20,295.50, 30,416.52 and 8,594.24

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Solution

The fourth proportional to 20,295.50, 30,416.52 and 8,594.24 is: 12,880.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,295.50 : 30,416.52 = 8,594.24 : x
  2. Step 2: Convert to fraction form
    20,295.50/30,416.52 = 8,594.24/x
  3. Step 3: Cross multiply
    20,295.50x = 30,416.52 × 8,594.24
  4. Step 4: Simplify right side
    20,295.50x = 261,406,872.84
  5. Step 5: Solve for x
    x = 261,406,872.84/20,295.50
  6. Step 6: Final answer
    x = 12,880.04

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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.