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Finding the Fourth Proportional to 14,750, 22,131.80 and 6,847.44

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Solution

The fourth proportional to 14,750, 22,131.80 and 6,847.44 is: 10,274.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,750 : 22,131.80 = 6,847.44 : x
  2. Step 2: Convert to fraction form
    14,750/22,131.80 = 6,847.44/x
  3. Step 3: Cross multiply
    14,750x = 22,131.80 × 6,847.44
  4. Step 4: Simplify right side
    14,750x = 151,546,172.59
  5. Step 5: Solve for x
    x = 151,546,172.59/14,750
  6. Step 6: Final answer
    x = 10,274.32

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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.