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Finding the Fourth Proportional to 21,879.68, 32,806.36 and 9,214.32

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Solution

The fourth proportional to 21,879.68, 32,806.36 and 9,214.32 is: 13,815.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,879.68 : 32,806.36 = 9,214.32 : x
  2. Step 2: Convert to fraction form
    21,879.68/32,806.36 = 9,214.32/x
  3. Step 3: Cross multiply
    21,879.68x = 32,806.36 × 9,214.32
  4. Step 4: Simplify right side
    21,879.68x = 302,288,299.08
  5. Step 5: Solve for x
    x = 302,288,299.08/21,879.68
  6. Step 6: Final answer
    x = 13,815.94

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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.