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Finding the Fourth Proportional to 20,116.30, 30,166.72 and 9,578.20

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Solution

The fourth proportional to 20,116.30, 30,166.72 and 9,578.20 is: 14,363.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,116.30 : 30,166.72 = 9,578.20 : x
  2. Step 2: Convert to fraction form
    20,116.30/30,166.72 = 9,578.20/x
  3. Step 3: Cross multiply
    20,116.30x = 30,166.72 × 9,578.20
  4. Step 4: Simplify right side
    20,116.30x = 288,942,877.50
  5. Step 5: Solve for x
    x = 288,942,877.50/20,116.30
  6. Step 6: Final answer
    x = 14,363.62

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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.