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Finding the Fourth Proportional to 13,627.50, 20,444.10 and 4,267.14

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Solution

The fourth proportional to 13,627.50, 20,444.10 and 4,267.14 is: 6,401.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,627.50 : 20,444.10 = 4,267.14 : x
  2. Step 2: Convert to fraction form
    13,627.50/20,444.10 = 4,267.14/x
  3. Step 3: Cross multiply
    13,627.50x = 20,444.10 × 4,267.14
  4. Step 4: Simplify right side
    13,627.50x = 87,237,836.87
  5. Step 5: Solve for x
    x = 87,237,836.87/13,627.50
  6. Step 6: Final answer
    x = 6,401.60

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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.