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Finding the Fourth Proportional to 13,677.20, 20,516.44 and 7,099.20

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Solution

The fourth proportional to 13,677.20, 20,516.44 and 7,099.20 is: 10,649.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677.20 : 20,516.44 = 7,099.20 : x
  2. Step 2: Convert to fraction form
    13,677.20/20,516.44 = 7,099.20/x
  3. Step 3: Cross multiply
    13,677.20x = 20,516.44 × 7,099.20
  4. Step 4: Simplify right side
    13,677.20x = 145,650,310.85
  5. Step 5: Solve for x
    x = 145,650,310.85/13,677.20
  6. Step 6: Final answer
    x = 10,649.13

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1.5x scale

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.