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Finding the Fourth Proportional to 14,438.98, 21,645.51 and 5,198.50

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Solution

The fourth proportional to 14,438.98, 21,645.51 and 5,198.50 is: 7,793.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,438.98 : 21,645.51 = 5,198.50 : x
  2. Step 2: Convert to fraction form
    14,438.98/21,645.51 = 5,198.50/x
  3. Step 3: Cross multiply
    14,438.98x = 21,645.51 × 5,198.50
  4. Step 4: Simplify right side
    14,438.98x = 112,524,183.74
  5. Step 5: Solve for x
    x = 112,524,183.74/14,438.98
  6. Step 6: Final answer
    x = 7,793.08

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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.