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Finding the Fourth Proportional to 24,435.28, 36,652.28 and 7,796.33

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Solution

The fourth proportional to 24,435.28, 36,652.28 and 7,796.33 is: 11,694.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,435.28 : 36,652.28 = 7,796.33 : x
  2. Step 2: Convert to fraction form
    24,435.28/36,652.28 = 7,796.33/x
  3. Step 3: Cross multiply
    24,435.28x = 36,652.28 × 7,796.33
  4. Step 4: Simplify right side
    24,435.28x = 285,753,047.89
  5. Step 5: Solve for x
    x = 285,753,047.89/24,435.28
  6. Step 6: Final answer
    x = 11,694.28

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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.