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Finding the Fourth Proportional to 20,205.26, 30,312.78 and 6,878.13

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Solution

The fourth proportional to 20,205.26, 30,312.78 and 6,878.13 is: 10,318.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,205.26 : 30,312.78 = 6,878.13 : x
  2. Step 2: Convert to fraction form
    20,205.26/30,312.78 = 6,878.13/x
  3. Step 3: Cross multiply
    20,205.26x = 30,312.78 × 6,878.13
  4. Step 4: Simplify right side
    20,205.26x = 208,495,241.50
  5. Step 5: Solve for x
    x = 208,495,241.50/20,205.26
  6. Step 6: Final answer
    x = 10,318.86

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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.