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Finding the Fourth Proportional to 21,806.16, 32,709.27 and 6,223.78

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Solution

The fourth proportional to 21,806.16, 32,709.27 and 6,223.78 is: 9,335.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,806.16 : 32,709.27 = 6,223.78 : x
  2. Step 2: Convert to fraction form
    21,806.16/32,709.27 = 6,223.78/x
  3. Step 3: Cross multiply
    21,806.16x = 32,709.27 × 6,223.78
  4. Step 4: Simplify right side
    21,806.16x = 203,575,382.21
  5. Step 5: Solve for x
    x = 203,575,382.21/21,806.16
  6. Step 6: Final answer
    x = 9,335.68

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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.