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Finding the Fourth Proportional to 14,500.87, 20,020.84 and 11,137.67

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Solution

The fourth proportional to 14,500.87, 20,020.84 and 11,137.67 is: 15,377.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,500.87 : 20,020.84 = 11,137.67 : x
  2. Step 2: Convert to fraction form
    14,500.87/20,020.84 = 11,137.67/x
  3. Step 3: Cross multiply
    14,500.87x = 20,020.84 × 11,137.67
  4. Step 4: Simplify right side
    14,500.87x = 222,985,509.04
  5. Step 5: Solve for x
    x = 222,985,509.04/14,500.87
  6. Step 6: Final answer
    x = 15,377.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.