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Finding the Fourth Proportional to 22,028.40, 33,047.73 and 6,447.24

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Solution

The fourth proportional to 22,028.40, 33,047.73 and 6,447.24 is: 9,672.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,028.40 : 33,047.73 = 6,447.24 : x
  2. Step 2: Convert to fraction form
    22,028.40/33,047.73 = 6,447.24/x
  3. Step 3: Cross multiply
    22,028.40x = 33,047.73 × 6,447.24
  4. Step 4: Simplify right side
    22,028.40x = 213,066,646.77
  5. Step 5: Solve for x
    x = 213,066,646.77/22,028.40
  6. Step 6: Final answer
    x = 9,672.36

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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.