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Finding the Fourth Proportional to 13,872.50, 20,809.36 and 4,012.77

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Solution

The fourth proportional to 13,872.50, 20,809.36 and 4,012.77 is: 6,019.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872.50 : 20,809.36 = 4,012.77 : x
  2. Step 2: Convert to fraction form
    13,872.50/20,809.36 = 4,012.77/x
  3. Step 3: Cross multiply
    13,872.50x = 20,809.36 × 4,012.77
  4. Step 4: Simplify right side
    13,872.50x = 83,503,236.01
  5. Step 5: Solve for x
    x = 83,503,236.01/13,872.50
  6. Step 6: Final answer
    x = 6,019.34

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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.