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Finding the Fourth Proportional to 21,893.12, 32,833.69 and 7,850.54

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Solution

The fourth proportional to 21,893.12, 32,833.69 and 7,850.54 is: 11,773.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,893.12 : 32,833.69 = 7,850.54 : x
  2. Step 2: Convert to fraction form
    21,893.12/32,833.69 = 7,850.54/x
  3. Step 3: Cross multiply
    21,893.12x = 32,833.69 × 7,850.54
  4. Step 4: Simplify right side
    21,893.12x = 257,762,196.69
  5. Step 5: Solve for x
    x = 257,762,196.69/21,893.12
  6. Step 6: Final answer
    x = 11,773.66

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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.