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Finding the Fourth Proportional to 20,599.50, 30,916.80 and 8,128.20

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Solution

The fourth proportional to 20,599.50, 30,916.80 and 8,128.20 is: 12,199.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,599.50 : 30,916.80 = 8,128.20 : x
  2. Step 2: Convert to fraction form
    20,599.50/30,916.80 = 8,128.20/x
  3. Step 3: Cross multiply
    20,599.50x = 30,916.80 × 8,128.20
  4. Step 4: Simplify right side
    20,599.50x = 251,297,933.76
  5. Step 5: Solve for x
    x = 251,297,933.76/20,599.50
  6. Step 6: Final answer
    x = 12,199.22

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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.