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Finding the Fourth Proportional to 21,851.29, 32,777.07 and 6,268.96

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Solution

The fourth proportional to 21,851.29, 32,777.07 and 6,268.96 is: 9,403.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,851.29 : 32,777.07 = 6,268.96 : x
  2. Step 2: Convert to fraction form
    21,851.29/32,777.07 = 6,268.96/x
  3. Step 3: Cross multiply
    21,851.29x = 32,777.07 × 6,268.96
  4. Step 4: Simplify right side
    21,851.29x = 205,478,140.75
  5. Step 5: Solve for x
    x = 205,478,140.75/21,851.29
  6. Step 6: Final answer
    x = 9,403.48

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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.