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Finding the Fourth Proportional to 21,774.09, 32,662.50 and 17,829.27

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Solution

The fourth proportional to 21,774.09, 32,662.50 and 17,829.27 is: 26,745.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,774.09 : 32,662.50 = 17,829.27 : x
  2. Step 2: Convert to fraction form
    21,774.09/32,662.50 = 17,829.27/x
  3. Step 3: Cross multiply
    21,774.09x = 32,662.50 × 17,829.27
  4. Step 4: Simplify right side
    21,774.09x = 582,348,531.38
  5. Step 5: Solve for x
    x = 582,348,531.38/21,774.09
  6. Step 6: Final answer
    x = 26,745.02

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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.