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Finding the Fourth Proportional to 14,333, 21,500.31 and 5,099

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Solution

The fourth proportional to 14,333, 21,500.31 and 5,099 is: 7,648.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,333 : 21,500.31 = 5,099 : x
  2. Step 2: Convert to fraction form
    14,333/21,500.31 = 5,099/x
  3. Step 3: Cross multiply
    14,333x = 21,500.31 × 5,099
  4. Step 4: Simplify right side
    14,333x = 109,630,080.69
  5. Step 5: Solve for x
    x = 109,630,080.69/14,333
  6. Step 6: Final answer
    x = 7,648.79

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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.