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Finding the Fourth Proportional to 20,295.56, 30,431.19 and 8,435.04

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Solution

The fourth proportional to 20,295.56, 30,431.19 and 8,435.04 is: 12,647.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,295.56 : 30,431.19 = 8,435.04 : x
  2. Step 2: Convert to fraction form
    20,295.56/30,431.19 = 8,435.04/x
  3. Step 3: Cross multiply
    20,295.56x = 30,431.19 × 8,435.04
  4. Step 4: Simplify right side
    20,295.56x = 256,688,222.41
  5. Step 5: Solve for x
    x = 256,688,222.41/20,295.56
  6. Step 6: Final answer
    x = 12,647.50

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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.