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Finding the Fourth Proportional to 21,783.26, 32,671.38 and 6,197.24

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Solution

The fourth proportional to 21,783.26, 32,671.38 and 6,197.24 is: 9,294.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,783.26 : 32,671.38 = 6,197.24 : x
  2. Step 2: Convert to fraction form
    21,783.26/32,671.38 = 6,197.24/x
  3. Step 3: Cross multiply
    21,783.26x = 32,671.38 × 6,197.24
  4. Step 4: Simplify right side
    21,783.26x = 202,472,382.99
  5. Step 5: Solve for x
    x = 202,472,382.99/21,783.26
  6. Step 6: Final answer
    x = 9,294.86

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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.