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Finding the Fourth Proportional to 14,620.44, 21,933.90 and 6,825

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Solution

The fourth proportional to 14,620.44, 21,933.90 and 6,825 is: 10,239.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,620.44 : 21,933.90 = 6,825 : x
  2. Step 2: Convert to fraction form
    14,620.44/21,933.90 = 6,825/x
  3. Step 3: Cross multiply
    14,620.44x = 21,933.90 × 6,825
  4. Step 4: Simplify right side
    14,620.44x = 149,698,867.50
  5. Step 5: Solve for x
    x = 149,698,867.50/14,620.44
  6. Step 6: Final answer
    x = 10,239.01

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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.