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Finding the Fourth Proportional to 21,804.13, 32,706.50 and 6,221.75

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Solution

The fourth proportional to 21,804.13, 32,706.50 and 6,221.75 is: 9,332.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,804.13 : 32,706.50 = 6,221.75 : x
  2. Step 2: Convert to fraction form
    21,804.13/32,706.50 = 6,221.75/x
  3. Step 3: Cross multiply
    21,804.13x = 32,706.50 × 6,221.75
  4. Step 4: Simplify right side
    21,804.13x = 203,491,635.27
  5. Step 5: Solve for x
    x = 203,491,635.27/21,804.13
  6. Step 6: Final answer
    x = 9,332.71

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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.