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Finding the Fourth Proportional to 21,779.26, 32,674.30 and 6,196.76

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Solution

The fourth proportional to 21,779.26, 32,674.30 and 6,196.76 is: 9,296.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,779.26 : 32,674.30 = 6,196.76 : x
  2. Step 2: Convert to fraction form
    21,779.26/32,674.30 = 6,196.76/x
  3. Step 3: Cross multiply
    21,779.26x = 32,674.30 × 6,196.76
  4. Step 4: Simplify right side
    21,779.26x = 202,474,795.27
  5. Step 5: Solve for x
    x = 202,474,795.27/21,779.26
  6. Step 6: Final answer
    x = 9,296.68

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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.