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Finding the Fourth Proportional to 12,624, 18,941.37 and 5,233.83

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Solution

The fourth proportional to 12,624, 18,941.37 and 5,233.83 is: 7,852.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,624 : 18,941.37 = 5,233.83 : x
  2. Step 2: Convert to fraction form
    12,624/18,941.37 = 5,233.83/x
  3. Step 3: Cross multiply
    12,624x = 18,941.37 × 5,233.83
  4. Step 4: Simplify right side
    12,624x = 99,135,910.55
  5. Step 5: Solve for x
    x = 99,135,910.55/12,624
  6. Step 6: Final answer
    x = 7,852.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.