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Finding the Fourth Proportional to 21,200.12, 31,804.79 and 6,408.65

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Solution

The fourth proportional to 21,200.12, 31,804.79 and 6,408.65 is: 9,614.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,200.12 : 31,804.79 = 6,408.65 : x
  2. Step 2: Convert to fraction form
    21,200.12/31,804.79 = 6,408.65/x
  3. Step 3: Cross multiply
    21,200.12x = 31,804.79 × 6,408.65
  4. Step 4: Simplify right side
    21,200.12x = 203,825,774.85
  5. Step 5: Solve for x
    x = 203,825,774.85/21,200.12
  6. Step 6: Final answer
    x = 9,614.37

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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.