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Finding the Fourth Proportional to 21,494.30, 32,229.86 and 6,499.36

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Solution

The fourth proportional to 21,494.30, 32,229.86 and 6,499.36 is: 9,745.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,494.30 : 32,229.86 = 6,499.36 : x
  2. Step 2: Convert to fraction form
    21,494.30/32,229.86 = 6,499.36/x
  3. Step 3: Cross multiply
    21,494.30x = 32,229.86 × 6,499.36
  4. Step 4: Simplify right side
    21,494.30x = 209,473,462.89
  5. Step 5: Solve for x
    x = 209,473,462.89/21,494.30
  6. Step 6: Final answer
    x = 9,745.54

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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.